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- Weierstrass Institute for Applied Analysis and StochasticsDE5 papers
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- Institute of PhysicsPL3 papers
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Showing 2007 · math.DGShow all
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math.DG2007
Curvatures of Smooth and Discrete Surfaces
John M. Sullivan
We discuss notions of Gauss curvature and mean curvature for polyhedral surfaces. The discretizations are guided by the principle of preserving integral relations for curvatures, l…
math.DG2007★ 1 cited
A variational proof of Alexandrov's convex cap theorem
Ivan Izmestiev
We give a variational proof of the existence and uniqueness of a convex cap with the given upper boundary. The proof uses the concavity of the total scalar curvature functional on…