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Topic: Curvature

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In the News (Thu 23 May 19)

 Ricci curvature: Facts and details from Encyclopedia Topic   (Site not responding. Last check: 2007-11-05)
The Ricci curvature is proportional to the metric tensor in this case.
Curvature is the amount by which a geometric object deviates from being flat....
In riemannian geometry, the scalar curvature (or ricci scalar) is the simplest way of describing the curvature of a riemannian manifold....
www.absoluteastronomy.com /encyclopedia/r/ri/ricci_curvature.htm   (2029 words)

 Scalar curvature at opensource encyclopedia   (Site not responding. Last check: 2007-11-05)
In mathematics, the scalar curvature of a surface is the familiar Gaussian curvature.
For higher-dimensional manifolds, it is double of the sum of all the sectional curvatures along all the 2-planes spanned by some orthonormal frame.
It is also the full trace of the Ricci curvature as well as of the curvature tensor.
www.wiki.tatet.com /Scalar_curvature.html   (85 words)

 Transactions of the American Mathematical Society
The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions.
Existence of prescribed mean curvature graphs in hyperbolic space.
Minimal surfaces of least total curvature and moduli spaces of plane polygonal arcs.
www.ams.org /tran/2006-358-02/S0002-9947-05-04084-5/home.html   (340 words)

 MedlinePlus Medical Encyclopedia: Marfan syndrome
How this overgrowth happens is not well understood.
Marfan syndrome causes skeletal defects typically seen in a tall, lanky person with long limbs and spider-like fingers (arachnodactyly), chest abnormalities (pectus excavatum or pectus carinatum), curvature of the spine, and a particular set of facial features, including a highly arched palate and crowded teeth.
Common eye problems are nearsightedness and dislocation of the lens of the eye.
www.nlm.nih.gov /medlineplus/ency/article/000418.htm   (676 words)

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