Results 281 to 290 of about 5,400,024 (317)

On the generalized mean curvature

Calculus of Variations and Partial Differential Equations, 2010
We study some properties of graphs whose mean curvature (in distributional sense) is a vector Radon measure. In particular, we prove that the distributional mean curvature of the graph of a Lipschitz continuous function u is a measure if and only if the distributional divergence of T u is a measure.
E. Barozzi, E. Gonzalez, MASSARI, Umberto   +2 more
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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.
Wolfgang Kühnel, Ulrich Pinkall
openaire   +2 more sources

Mean Curvature Is a Good Regularization for Image Processing

IEEE transactions on circuits and systems for video technology (Print), 2019
Ill-posed problems are very common in many image processing and computer vision tasks. To solve such problems, a regularization must be imposed. In this paper, we argue why mean curvature is a good regularization for these tasks. From a geometry point of
Yuanhao Gong
semanticscholar   +1 more source

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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On an Inequality of Mean Curvature

Journal of the London Mathematical Society, 1972
where denotes the scalar product in E, cn the area of the unit rc-sphere, and dV the volume element of M. The equality sign of (1) holds when and only when M" is imbedded as a hypersphere in an («+ l)-dimensional subspace of E (Chen [3], [4]; see also Chen [1] and Willmore [6], [7]).
openaire   +3 more sources

Graphical translators for mean curvature flow

Calculus of Variations and Partial Differential Equations, 2018
In this paper we provide a full classification of complete translating graphs in R3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
David Hoffman, T. Ilmanen, F. Martín, B. White   +3 more
semanticscholar   +1 more source

The basic component of the mean curvature of Riemannian foliations

For a Riemannian foliation % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0 ...
Jesús A. Álvarez López
semanticscholar   +1 more source

Min–max theory for constant mean curvature hypersurfaces

Inventiones Mathematicae, 2017
In this paper, we develop a min–max theory for the construction of constant mean curvature (CMC) hypersurfaces of prescribed mean curvature in an arbitrary closed manifold.
Xin Zhou, Jonathan J. Zhu
semanticscholar   +1 more source

Mean Curvature Flow Solitons in the Presence of Conformal Vector Fields

Journal of Geometric Analysis, 2017
In this paper we introduce and study a notion of mean curvature flow soliton in Riemannian ambient spaces general enough to encompass target spaces of constant sectional curvature, Riemannian products or, in increasing generality, warped product spaces ...
L. Alías, J. D. de Lira, M. Rigoli
semanticscholar   +1 more source

Partitions with prescribed mean curvatures

manuscripta mathematica, 2002
The author considers a variational problem on Caccioppoli partitions with countably many components, which models immiscible fluids as well as variational image segmentation. The functional introduced by the author generalizes a previous one discussed by \textit{U. Massari} [Arch. Ration. Mech. Anal. 55, 357-382 (1974; Zbl 0305.49047); Rend. Sem.
openaire   +4 more sources