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	Eugenio Calabi -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-18)
		Eugenio Calabi is a (A person skilled in mathematics) mathematician and professor emeritus at the (A university in Philadelphia, Pennsylvania) University of Pennsylvania, specializing in (Click link for more info and facts about differential geometry) differential geometry, (A differential equation involving a functions of more than one variable) partial differential equations and their applications.
		Professor Calabi was a (Click link for more info and facts about Putnam Fellow) Putnam Fellow as an undergraduate at (An engineering university in Cambridge) MIT in 1946.
		In 1964, Calabi joined the mathematics faculty at the (A university in Philadelphia, Pennsylvania) University of Pennsylvania.
	www.absoluteastronomy.com /encyclopedia/E/Eu/Eugenio_Calabi.htm (286 words)

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		Aramburu, Pedro Eugenio Aramburu, Pedro Eugeniopā´thrō āoohā´nyō ärämboo´roo, 1903-70, president of Argentina (1955-58).
		Hostos, Eugenio Mar?de Hostos, Eugenio María deāoohā´nyō märē´ä dā ō´stōs, 1839-1903, Latin American philosopher, sociologist, writer, and political and educational reformer, b.
		Montero R?, Eugenio Montero Ríos, Eugenioāoohā´nyō mōntā´rō rē´ōs, 1832-1914, Spanish statesman and jurist.
	www.encyclopedia.com /searchpool.asp?target=Eugenio+Calabi (415 words)

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		Pius XII Pius XII, 1876-1958, pope (1939-58), an Italian named Eugenio Pacelli, b.
		Pius XI -> Papacy Pius's pontificate was marked by great diplomatic activity and by many important papers, often in the form of encyclicals.
		In diplomatic affairs Pius was aided at first by Pietro Gasparri and after 1930 by Eugenio Pacelli (who succeeded him as Pius XII).
	www.encyclopedia.com /search.asp?target=Eugenio+Calabi&rc=10&fh=7&fr=11 (213 words)

	Eugenio Calabi - Encyclopedia, History, Geography and Biography
		Eugenio Calabi - Encyclopedia, History, Geography and Biography
		This page was last modified 21:06, 23 Apr 2005.
		This encyclopedia, history, geography and biography article about Eugenio Calabi contains research on
	www.arikah.net /encyclopedia/Eugenio_Calabi (187 words)

	Eugenio Calabi Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-18)
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	www.karr.net /encyclopedia/Eugenio_Calabi (345 words)

	Rota's 10 Lessons
		At last I remembered an MIT colloquium that took place in the late fifties, it was one of the first colloquia I attended at MIT.
		The speaker was Eugenio Calabi; in the audience, sitting in the front row, were Norbert Wiener, asleep as usual until the time came to applaud, and Dirk Struik, who had been one of Calabi's teachers when Calabi was an undergraduate in the forties.
		Calabi obliged, and in the next five minutes he explained in beautifully simple terms the gist of his lecture.
	www.math.vt.edu /people/day/advice/YMN4_25.html (2967 words)

	Supplement to Grad Program Description
		Incoming graduate students are eligible to be considered for fellowships from the Mathematics Department's Calabi Scholars Fund, started in 1997 and named in honor of Prof.
		Those who are named as Calabi Fellows or Calabi Scholars receive additional supplements to their stipends each year of their support package that they are in good standing and making timely progress toward their Ph.D. e) Dean's Dissertation Fellowships --
		These are one year fellowships awarded in a University wide competition to senior graduate students who are working on their Ph.D. theses.
	www.math.upenn.edu /grad/GradRegs.html (1287 words)

	Manifolds and Geometry - Cambridge University Press (Site not responding. Last check: 2007-10-18)
		Brought together in this book are papers from a conference on differential geometry held in Pisa, in honour of Eugenio Calabi.
		The contributions are from many of the leading authorities in this field and together they cover a wide spectrum of topics that give an unsurpassed overview of research into differential geometry.
		Eugenio Calabi and Kähler metrics J. Bourguignon; On extremals with prescribed Lagrangian densities R. Bryant; Generalized Kummer surfaces and differentiable invariants of Noether-Horiwaka surfaces I.
	www.cup.cam.ac.uk /catalogue/catalogue.asp?ISBN=0521562163 (201 words)

	Differential and Numerically Invariant Signature Curves Applied to Object Recognition - Calabi, Olver, Shakiban, ... (Site not responding. Last check: 2007-10-18)
		Eugenio Calabi, Peter J. Olver, Chehrzad Shakiban, Allen Tannenbaum, Steven Haker
		In this paper we introduce a new paradigm, the differential invariant signature curve or manifold, for the invariant recognition of visual objects.
		Calabi, E., Olver, P.J., Shakiban, C., Tannenbaum, A., and Haker, S., Differential and numerically invariant signature curves applied to object recognition, Int.
	citeseer.ist.psu.edu /166223.html (1017 words)

	Affine Geometry, Curve Flows, and Invariant Numerical Approximations - Calabi, Olver, Tannenbaum (ResearchIndex) (Site not responding. Last check: 2007-10-18)
		Affine Geometry, Curve Flows, and Invariant Numerical Approximations - Calabi, Olver, Tannenbaum (ResearchIndex)
		Calabi, P. Olver, and A. Tannenbaum, "Affine geometry, curve flows, and invariant numerical approximations," TR, Department of EE, University of Minnesota, June 1995.
		@misc{ calabi95affine, author = "E. Calabi and P. Olver and A. Tannenbaum", title = "Affine geometry, curve flows, and invariant numerical approximations", text = "E. Calabi, P. Olver, and A. Tannenbaum, Affine geometry, curve flows, and invariant numerical approximations, TR, Department of EE, University of Minnesota, June 1995.", year = "1995", url = "citeseer.ist.psu.edu/article/calabi97affine.html" }
	citeseer.ist.psu.edu /241831.html (488 words)

	Penn Math (Site not responding. Last check: 2007-10-18)
		Incoming Graduate students are eligible for these Fellowships, started in 1997 and named in honor of Eugenio Calabi.
		They give the Calabi scholar a full fellowship during the first year and a teaching fellowship in subsequent years.
		The fellowship includes a supplement to the usual stipend in each year of the fellowship.
	mirror.math.nankai.edu.cn /mirror/www.math.upenn.edu/GradRegs.html (987 words)

	The Life and Times of One of the Century's Most Gifted Individuals
		He appeared to spend his time walking the corridors of Fine Hall or lying, lost in thought, on tables in the library and commons room.
		Eugenio Calabi suspects that Nash, like himself, was marginally dyslexic.
		But while Calabi regarded his own aversion to reading-especially dense, challenging material-as a weakness, Nash would defend not reading on the ground that mathematical activity would trump mathematical passivity in the long run.
	www.siam.org /siamnews/06-99/nash.htm (2454 words)

	A timeline of mathematics and theoretical physics
		Eugenio Calabi conjectures the existence of a Kähler manifold with a Ricci-flat metric with a vanishing first Chern class, and a given complex structure and Kähler class.
		This is exciting because instantons can tell us about non-perturbative physics that is not approachable by other means of calculation.
		Shing-Tung Yau proves the Calabi conjecture and discovers the Calabi-Yau space, an important development for later progress in string theory.
	superstringtheory.com /history/history3.html (2102 words)

	Math Awareness Month :: From Black Holes to Dark Energy: Cosmology in the 21st Century by Robert Osserman
		In 1953, a young differential geometer, Eugenio Calabi, made a study of complex manifolds, and was led to conjecture that under very general conditions there should be a metric on each manifold of a particularly symmetric nature.
		This Calabi conjecture was a subject of great interest, and was finally proved in 1977 by Shing-Tung Yau.
		Although of considerable mathematical interest, the Calabi-Yau manifolds, as they came to be known, had no obvious connection to cosmology until the advent of string theory introduced a whole new dimension - or more precisely, set of dimensions - into play.
	www.mathaware.org /essays/black.holes.html (1960 words)

	FERMENT (Site not responding. Last check: 2007-10-18)
		Around the same period, one of his personal friends, the gentle Eugenio Calabi visited MIT and gave a lecture.
		Nash walked into the seminar room in the middle of his talk and started ranting at a student named Al Vasquez because he'd discovered a photograph of himself on the cover of Life Magazine, thinly disguised as Pope John XXIII.
		Calabi ignored the disturbance, the audience ignored it.
	www.umsl.edu /~skthoma/nashbio.htm (10153 words)

	[No title]
		Luckily I remembered an MIT colloquium that took place in the late fifties; it was one of the first I attended at MIT.
		Sitting in the front row of the audience were Norbert Wiener, asleep as usual until the time came to applaud, and Dirk Struik who had been one of Calabi's teachers when Calabi was an undergraduate at MIT in the forties.
		At the end of the lecture, an arcane dialogue took place between the speaker and some members of the audience, Ambrose and Singer if I remember correctly.
	xenia.media.mit.edu /~cahn/life/gian-carlo-rota-10-lessons.html (2785 words)

	[No title] (Site not responding. Last check: 2007-10-18)
		What works best is a type of manifold called a Calabi-Yau manifold, which is a Kahler manifold with vanishing first Chern class.
		In 1954, Eugenio Calabi first theorized the possibility of such a thing.
		In 1985, Candelas, Strominger, Horowitz, and Witten proposed that the extra dimensions required by string theory could be compactified on a Calabi-Yau manifold.
	www.geocities.com /jefferywinkler/beyondstandardmodel6.html (4433 words)

	Dimensions, Wound Strings, Branes, and Calabi Yau Spaces
		Dimensions, Wound Strings, Branes, and Calabi Yau Spaces
		The equations of string theory dictate a certain class of six-dimensional geometrical forms as the possibilities for the shape of curled-up dimensions.
		These forms are known as Calabi-Yau spaces, named after Eugenio Calabi and Shing-Tung Yau for their pre-string work with these geometrical shapes.
	library.thinkquest.org /27930/stringtheory5.htm (2172 words)

	MathLinks Math Forum :: View topic - Year 15, Round 4, Problem 3
		The ratio $AC/AB$ is an irrational number that is the root of a cubic polynomial.
		This triangle was apparently discovered by the Italian mathematician Eugenio Calabi.
		It is the only non-equilateral triangle into which we can fit three equal squares in this manner.
	www.mathlinks.ro /Forum/post-95706.html (1279 words)

	Welcome to Mathsoft
		There are clearly three congruent largest squares which we can fit within T. Are there any non-equilateral triangles with this property?
		Eugenio Calabi answered this question: such a triangle exists and is unique.
		I am grateful to Professor Calabi for providing an
	www.mathsoft.com /mathsoft_resources/mathsoft_constants/Geometry_Constants/2014.asp (77 words)

	[No title] (Site not responding. Last check: 2007-10-18)
		Bourguignon, Jean Pierre, Eugenio Calabi and Kähler metrics,
		Calabi, Eugenio; Chen, Xiuxiong The space of Kaehler metrics and the Calabi flow.
		Chrusciel, Piotr T. Semi-global existence and convergence of solutions of the Robinson- Trautman (2-dimensional Calabi) equation.
	www.math.ethz.ch /analysis+geometry/arb/arb-ss00/calabiflow.html (209 words)

	School of Math Newsletter: Dept. Head (Site not responding. Last check: 2007-10-18)
		The Yamabe Memorial Lecture, in honor of the distinguished mathematician Hidehiko Yamabe (1923-1960), has been held annually since 1989, in alternating years, at the University of Minnesota and at Northwestern University.
		Lectures in this series have been given by Professors Neil Trudinger, Eugenio Calabi, Rick Schoen, Shizuo Kakutani, Craig Evans, Walter Rudin, Robert Hardt, Katsumi Nomizu, Fred Gehring, Richard Hamilton, Peter Sarnak, Jeff Cheeger and S.-T. Yau.
		In the future we will continue this fine tradition in a different and more extended form.
	www.math.umn.edu /arb/newsletter2002/symposium.html (439 words)

	AMS Prize - Leroy P. Steele Prizes
		August 1991: To Jean-François Treves for Pseudodifferential and Fourier Integral Operators, Volumes 1 and 2 (Plenum Press, 1980).
		August 1991: To Eugenio Calabi for his fundamental work on global differential geometry, especially complex differential geometry.
		August 1991: To Armand Borel for his extensive contributions in geometry and topology, the theory of Lie groups, their lattices and representations and the theory of automorphic forms, the theory of algebraic groups and their representations and extensive organizational and educational efforts to develop and disseminate modern mathematics.
	www.ams.org /prizes/steele-prize.html (3520 words)

	The Mathematics Genealogy Project - Eugenio Calabi
		Click here to see the students listed in chronological order.
		According to our current on-line database, Eugenio Calabi has 5 students and 5 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org /html/id.phtml?id=8111 (99 words)

	Powell's Books - Symposia Mathematica #35: Manifolds and Geometry by Paol De Bartolomeis (Site not responding. Last check: 2007-10-18)
		Read the original essay by Julia Briggs, and save 30% on Virginia Woolf: An Inner Life
		A compilation of papers presented at a conference on differential geometry held in Pisa, Italy in September 1993 in honor of geometer Eugenio Calabi.
		Among the topics: a new relative invariant distance and applications, analytic discriminants for manifolds with canonical class zero, and unseen symplectic boundaries.
	www.powells.com /cgi-bin/biblio?inkey=4-0521562163-1 (75 words)

	Superstrings
		If the sum over the histories of the world sheet is to be consistent, the six dimensions must be curled up in one of a few special ways.
		They are said to form a kind of space called a Calabi-Yau space (after Eugenio Calabi of the University of Pennsylvania and Shing-Tung Yau of the University of California at San Diego); they may also form a generalnation of such a space called an orbifold.
		These spaces lead to a promising scheme for explaining the physics of the four observable dimensions.
	www.dhushara.com /book/quantcos/supstr/supers.htm (12072 words)

	Alchemical Homeopathy
		These two mathematicians said that within the common three extended dimensions (that we are familiar with) are additional dimensions in tightly curled structures.
		One possible structure that could envelop six extra dimensions is the Calabi-Yau shape, which was created by Eugenio Calabi and Shing-Tung Yau.
		This structure is much like a tightly wound ball that surrounds six dimensions.
	www.asc-alchemy.com /alchemicalhomeopathy.html (16408 words)

	Atlas: International Congress on Differential Geometry in memory of Alfred Gray (1939-1998) - List of Speakers
		Renzo Caddeo The Moebius strip and Viviani's windows
		Eugenio Calabi On Geodesics in a Function Space of Kähler metrics
		Jong Taek Cho A new class of contact Riemannian manifolds
	atlas-conferences.com /c/a/d/q/01.htm (987 words)

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