Results 231 to 240 of about 525,905 (280)

ON TOTAL MEAN CURVATURES

The Quarterly Journal of Mathematics, 1986
The ith mean curvature \(K_ i\) of a compact immersed submanifold of dimension n in \(E^ k\) is the normalized ith elementary symmetric function of the principal curvatures. The authors consider homothety- invariant integrals of functions of the \(K_ i\). They discuss lower bounds for these.
Kühnel, Wolfgang, Pinkall, Ulrich
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II—mean curvature and weighted mean curvature

Acta Metallurgica et Materialia, 1992
Abstract Several different formulations are in use for mean curvature (appropriate for isotropic surface free energy) and weighted mean curvature (appropriate for anisotropic surface free energy). These formulations are collected and described in this paper.
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Mean Curvature of Riemannian Foliations

Canadian Mathematical Bulletin, 1996
AbstractIt is shown that a suitable conformai change of the metric in the leaf direction of a transversally oriented Riemannian foliation on a closed manifold will make the basic component of the mean curvature harmonic. As a corollary, we deduce vanishing and finiteness theorems for Riemannian foliations without assuming the harmonicity of the basic ...
March, Peter   +2 more
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On Brakke’s mean curvature flow

Sugaku Expositions, 2022
The article represents an excellent exposition of a fascinating, resurgent field of research, by one of the main researchers in the domain. It starts from the basic physical intuition and motivation, proceeds through essential background material, such as the mean curvature flow, as well as crucial definitions and tools from geometric measure theory ...
openaire   +1 more source

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