
	Where results make sense

Topic: Killing vector

	Killing vector field - Wikipedia, the free encyclopedia
		In mathematics, a Killing vector field, named after Wilhelm Killing, is a vector field on a Riemannian manifold that preserves the metric.
		Killing fields are the infinitesimal generators of isometries; that is, flows generated by Killing fields are continuous isometries of the manifold.
		The Killing fields on a manifold M thus form a Lie subalgebra of vector fields on M.
	en.wikipedia.org /wiki/Killing_vector_field (279 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		A Killing vector, k, is defined to be a vector which satisfies the equation: k + k - 2 Phi g = 0.
		The conformal factor is stored in the GRTensorII object conf[v], and if this can not be evaluated to zero the vector is labelled as a conformal/homothetic Killing vector rather than a Killing vector.
		Killing Test = v is a Killing vector.
	www.astro.queensu.ca /~grtensor/newhelp/killing.help (417 words)

	Springer Online Reference Works (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-10-21)
		In a complete Riemannian manifold any Killing vector field is complete, that is, it is the field of velocities of a one-parameter group of motions.
		For example, at a point where all eigen values of the Ricci operator are distinct, a Killing vector field cannot vanish.
		The equation determining a Killing tensor field is also called the Killing equation.
	eom.springer.de.cob-web.org:8888 /K/k055420.htm (410 words)

	An Oncolytic Adenovirus Selective for Retinoblastoma Tumor Suppressor Protein Pathway-defective Tumors: Dependence on ...
		Schematic representation of the E2F vector and the E2F-E3 vector genomes.
		oncolysis by the E2F vector in vitro and the Rb pathway.
		infected with the replication-defective E2F vector, E1A was
	cancerres.aacrjournals.org /cgi/content/full/63/7/1490 (8617 words)

	My Personal Reading List
		The Einstein-Maxwell field equations in the presence of one Killing vector are shown to possess covariance under an eight-parameter group of linear substitutions in the field variables.
		The authors assume that both Killing vectors are spacelike, (or) that one of the Killing vectors is timelike.
		Vector Bäcklund transformations which relate solutions of the vacuum Einstein equations having two commuting Killing fields are introduced.
	members.localnet.com /~atheneum/bib/staxsym.html (14202 words)

	Relativity questions...
		You need a time-like Killing vector which does not in general exist (although special static cases in which the metric is time-independent can be considered).
		Note that a unit vector in the time direction in the exterior vacuum region of the Schwarzschild metric is a Killing vector.
		If this condition is met, and there is no time-like Killing vector, the total energy of the system can be defined, but the energy can no longer be localized as it was in the previous case.
	www.physicsforums.com /showthread.php?t=51498 (1977 words)

	The Nonclassical Major Histocompatibility Complex Molecule Qa-2 Protects Tumor Cells from NK Cell- and ...
		Lysis of Q9.A7 was compared with vector for the same culture condition and percentage of inhibition was calculated as in Fig.
		A) and are significantly resistant to killing (n = 4; percentage of inhibition = 30.9 ± 2.1% at 100:1 and 43.4 ± 0.9% at 30:1, n = 4;
		inhibition of killing was reversed in the presence of anti-Q9 F(ab')
	www.jimmunol.org /cgi/content/full/168/5/2200 (7789 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		For instance, write the metric of Minkowksi space as ds^2 = dt^2 - dx^2 - dy^2 - dz^2 The Killing vectors are 1.
		This generalizes to any vacuum spacetimes--- taking the vector potential to be a constant scalar multiple of any Killing vector field yields a source-free Maxwell solution.
		The integral curves of the basis vector field e_t defines an irrotational family of timelike curves, the world lines of static observers, with acceleration vector matching the electric field strength: q -------------------------------------------- e_x A x sqrt(x^2-y^2) (m - arccot(sqrt(x^2-1))^2 Notice that the observers must fire their rocket engines toward the source to maintain their position.
	math.ucr.edu /home/baez/PUB/einsteinmaxwell (2953 words)

	Relative Velocity
		Their weighted sum is also a Killing vector - it could be either timelike or spacelike, depending.
		All I need is a way of determining motion of an object in a static spacetime with respect to an observer travelling along the flow of the Killing vector field.
		Then since the spacetime is static, the Killing field has a orthogonal hypersurface which I understand to be a hypersurface which is orthogonal to each and every integral curve, i.e.
	www.physicsforums.com /showthread.php?p=1074232#post1074232 (1291 words)

	3.3 Effective field theory in curved space
		In this case the Fock space of states to which each of the observers is led are typically all unitarily equivalent to one another, and so each observer has an equivalent description of the physics of the system.
		An important complication to this picture arises when the timelike Killing vector field cannot be globally defined throughout all of the spacetime.
		Often the Killing vector of interest becomes null at the boundaries of these regions.
	relativity.livingreviews.org /Articles/lrr-2004-5/articlesu13.html (3561 words)

	Springer Online Reference Works (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-10-21)
		One use is in the generation of new solutions with one Killing vector from a known one.
		on the quotient space by the Killing vector action as dependent variables (both are functions of three variables).
		A second use is in finding stationary axi-symmetric gravitational fields (or by a straightforward modification to the formalism, solutions with other symmetries representing, for example, cylindrically symmetric gravitational waves and the interaction of colliding plane waves).
	eom.springer.de.cob-web.org:8888 /E/e120160.htm (669 words)

	CrmA, a Poxvirus-encoded Serpin, Inhibits Cytotoxic T-lymphocyte-mediated Apoptosis -- Tewari et al. 270 (39): 22705 -- ...
		Thus, the difference in susceptibility to killing between vector and CrmA-expressing lines in the CTL-mediated cytolysis assays is not simply due to a decreased intrinsic propensity of the CrmA lines to undergo spontaneous lysis.
		Because killing by CTLs is the result of activation of both granzyme and Fas pathways, it was of interest to determine whether one or both of these was modulated by CrmA, since previous studies indicated that CrmA could potentially inhibit both pathways(26, 27).
		The importance of CTL-mediated killing in the host-virus interaction is suggested by the diversity of viral mechanisms that have evolved to combat T cell-mediated lysis.
	www.jbc.org /cgi/content/full/270/39/22705 (5211 words)

	Astron. Astrophys. 331, 280-290 (1998)
		In the stationary and axisymmetric case, the Killing vector
		The shift vector equation (18) associated with this particular frame yields
		We further introduce the explicit expressions of the involved derivative operators, associated with the standard orthonormal frame of flat space spherical coordinates.
	aa.springer.de /papers/8331001/2300280/sc2.htm (1787 words)

	- Chapter 1
		He is one of the strong—unless he allows himself to be killed by his unfortunate pacifist fancies.
		But a Killing vector is a standard sort of thing in relativity—I guess you never had any training in that.
		You get a Killing vector when a region of space-time has some sort of symmetry—say, about an axis of spin.
	www.baen.com /chapters/W200001/067157857X__1.htm (5786 words)

	Use of Adenovirus Vectors Expressing Epstein-Barr Virus (EBV) Immediate-Early Protein BZLF1 or BRLF1 To Treat ...
		The BZLF1 and BRLF1 adenovirus vectors induce expression of lytic EBV genes in NPC-KT cells in vitro.
		The BZLF1 and BRLF1 adenovirus vectors induce transcription of early lytic EBV genes in C18 NPC tumors.
		An adenovirus vector with genetically modified fibers demonstrates expanded tropism via utilization of a coxsackievirus and adenovirus receptor-independent cell entry mechanism.
	jvi.asm.org /cgi/content/full/76/21/10951 (5684 words)

	Mosquito Holocaust - DDT approved for killing mosquitos - Brief Article Reason - Find Articles
		While the wealthy West has wiped out malaria, it remains deadly to millions in the developing world, particularly in Africa; the annual global death toll from the disease is 1 million.
		Now activists working to control malaria have won a partial victory over environmentalists who want to ban DDT, the pesticide that's the cheapest, most efficient means of killing the mosquitoes that spread the disease.
		Rather, it was put in a "restriction" category, as opposed to being targeted for outright "elimination," as were the other nine substances.
	www.findarticles.com /p/articles/mi_m1568/is_5_33/ai_78575522 (369 words)

	2.1 Energy-momentum and angular momentum density of matter fields
		of the Killing vectors is well known to split to the semidirect sum of a 4-dimensional commutative ideal,
		is spanned by the constant Killing vectors, in which a constant orthonormal frame field
		of the boost-rotation Killing vectors that vanish at
	relativity.livingreviews.org /Articles/lrr-2004-4/articlesu1.html (735 words)

	[No title] (Site not responding. Last check: 2007-10-21)
		This vector points radially outward for all m > 0, as we would expect: static observers have to fire their rocket engines directly toward the nearest point on the line source to maintain their position.
		Also, find expressions for the world lines of the slowly infalling observers, whose acceleration vector is m(t)/r^2 e_r, which would be just sufficient to hold them stationary in Newtonian gravity, but is not quite enough to prevent them from slowly falling inwards, in gtr.
		I stress that for another family of observers, the magnetogravitic tensor might not vanish; for example for the timelike unit vector field X = sqrt(1 + f(t)^2 g(r)^2) e_t + f(t) g(r) e_v we have nonzero vorticity tensor and nonzero magnetogravitic tensor.
	math.ucr.edu /home/baez/PUB/weylvac (4548 words)

	Classical deformations of 2d SCFTs - Part I: Loop space \| The String Coffee Table
		is the Killing vector field on loop space which induces reparametrizations.
		As was reviewed in section 2.1.1 of [3], (which is based on [2]) one obtains from the exterior derivative and its adjoint on a manifold the generators of a global
		The generic Killing vector field on loop space is the reparametrization vector
	golem.ph.utexas.edu /string/archives/000275.html (2373 words)

	Exact solutions with conformal Killing vector fields
		Exact, perfect fluid solutions of Einstein's field equations admitting a Lie algebra of conformal Killing vectors are studied.
		A specific class of perfect fluid models admitting three conformal Killing vectors (with a particular group structure) acting on two-dimensional timelike surfaces is investigated.
		A particular exact perfect fluid solution is obtained which is physically well behaved (in the sense that p=p(mu), the weak and dominant energy conditions are satisfied, and it is amenable to a simple two perfect fluids interpretation), but it does not have a big-bang-like singularity.
	stacks.iop.org /0264-9381/9/2203 (254 words)

	Sortir en Pantoufles -- blogCentral -- Noether's theorem and Lorentzian Boost
		The above generators of the symmetry groups are also called Killing vector fields.
		one that doesn't change the metric) is generated by a vector field for which the deformation tensor is 0.
		If we put in the rotational vectors (the spacial L vectors), we see rotational symmetry gives rise to conservation of angular momentum.
	www.math.princeton.edu /~wwong/blog/blog200510201938.shtml (1030 words)

	Exact Solutions (Existence and Uniqueness) / Symmetries / Classifications
		Coley A A, B O J Tupper: Spacetimes Admitting Inherting Conformal Killing Vector Fields, Class.
		Coley A A: Fluid Spacetimes Admitting a Conformal Killing Vector Parallel To The Velocity Vector, Class.
		NB: Purpose is to formalise the role of the conformal group $C_{r}$ in general relativity analoguous to the isometry group $G_{r}$.
	www.mth.uct.ac.za /~webpages/henk/ref_dir/chex.html (1553 words)

	Spherically symmetric spacetimes admitting inheriting conformal Killing vector fields
		Spherically symmetric spacetimes admitting inheriting conformal Killing vector fields
		Perfect fluid spherically symmetric spacetimes admitting a proper inheriting conformal Killing vector (CKV) are studied.
		A general theorem is proven in which the (restricted) form of the CKV (and conformal factor) is given should a perfect fluid spherically symmetric spacetime admit a proper inheriting CKV.
	stacks.iop.org /0264-9381/7/2195 (249 words)

	Lie derivative of spinors (along Killing vectors)
		> * K is a Killing vector on the base manifold, with components
		>if X is not a Killing vector field, then transport of an orthonormal
		Killing vector v on each of the two spinor bundles:
	www-stud.uni-essen.de /~sb0264/SpinorLie.html (847 words)

	Riemannian manifolds for degenerates
		is described by a set of differential equations, the Killing equations for the
		you find that there is indeed a global Killing vector, and thus a global
		Outside the horizon, this vector is timelike, and you can choose
	www.groupsrv.com /science/about179234.html (1679 words)

	General relativity (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-10-21)
		Curvature may be quantified by the Riemann tensor, essentially a matrix of numbers which describes how a vector that is moved along a curve parallel to itself changes when a round trip is made.
		In flat space, the vector returns to the same orientation, but in a curved space it generally does not.
		Schutz assumes a solid knowledge on vectors and calculus.
	general-relativity.iqnaut.net.cob-web.org:8888 (3099 words)

	Chagas disease information. The UNICEF-UNDP-World Bank-WHO Special Programme for Research and Training in Tropical ...
		Southern Cone, where vector insects live inside human homes
		Control relies on killing vector insects in houses, improving housing to render them unsuitable for colonization by vector insects, and comprehensive health education initiatives.
		Travellers can avoid the disease by not sleeping in infested housing and ensuring that any transfusions are with blood that have been screened.
	www.who.int /tdr/diseases/chagas/diseaseinfo.htm (366 words)

	Dr. Istvan Racz, ITP & KFKI, Hungary, On the Existence of Killing Vector Fields (Site not responding. Last check: 2007-10-21)
		Istvan Racz, ITP & KFKI, Hungary, On the Existence of Killing Vector Fields
		Audio for this talk requires sound hardware, and RealPlayer or RealAudio by RealNetworks.
		To begin viewing slides, click on the first slide below.
	online.itp.ucsb.edu /online/gravity99/racz (44 words)

	Spacetimes Admitting Isolated Horizons /Killing Vector Field/ :: Reprocess Segment Database Extender :: Negligent ...
		Spacetimes Admitting Isolated Horizons /Killing Vector Field/ :: Reprocess Segment Database Extender :: Negligent Collateral Collapse :: MP3 Database
		Spacetimes Admitting Isolated Horizons /Killing Vector Field/ :: Reprocess Segment Database Extender :: Negligent Collateral Collapse
		Gamma Ray - Blast From The Past (CD 1)
	us.od.ua /track/id/184628 (144 words)

	La recherche au Centre de mathématiques de l'Ecole polytechnique (via CobWeb/3.1 planetlab1.netlab.uky.edu) (Site not responding. Last check: 2007-10-21)
		MOROIANU A., NAGY P.A., SEMMELMANN U. Unit killing vector fields on nearly Kahler manifolds
		MA X., MARINESCU G. The first coefficients of the asymptotic expansion of the Bergman kernel of he spin Dirac operator
		MA X., ZHANG W. h-invariant and flat vector bundles
	www.math.polytechnique.fr.cob-web.org:8888 /ATP.html (1956 words)

Try your search on: Qwika (all wikis)