Results 321 to 330 of about 5,561,344 (365)

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

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

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

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, Min-Oo, Maung, Ruh, Ernst A.   +2 more
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Brakke's Mean Curvature Flow

SpringerBriefs in Mathematics, 2022
Y. Tonegawa
semanticscholar   +1 more source

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

Nucleation and mean curvature flow

Communications in Partial Differential Equations, 1998
which is written in terms of the characteristic function of the evolving set. The argument is based on implicit time-discretization, derivation of uniform estimates, and passage to thIn this paper ...
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Variational mean curvatures

1994
Given a function \(H\in L^ 1 (\mathbb{R}^ n)\) a measurable set \(E\subset \mathbb{R}^ n\) is said to have variational mean curvature \(H\) if \(E\) minimizes the functional \(F_ H (E)= \int| D\chi_ E|+ \int_ E H(x)dx\), where \(\int| D\chi_ E|\) denotes the total variation of the vector measure \(D\chi_ E\), \(\chi_ E=\) characteristic function of the
MASSARI, Umberto, E. GONZALEZ
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Stochastic Motion by Mean Curvature

Archive for Rational Mechanics and Analysis, 1998
The author establishes the existence of a continuously time-varying random subset \(K(t)\) of Euclidean space such that its boundary, which is a hypersurface, has normal velocity formally equal to the mean curvature plus a random driving force. This random force is modelled by a stochastic flow of diffeomorphisms, and the sets \(K(t)\) are sets of ...
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Concentrated Curvature for Mean Curvature Estimation

2010
We present a mathematical result that allows computing the discrete mean curvature of a polygonal surface from the so-called concentrated curvature generally used for Gaussian curvature estimation. Our result adds important value to concentrated curvature as a geometric and metric tool to study accurately the morphology of a surface.
M. M. Mesmoudi, DE FLORIANI, LEILA, MAGILLO, PAOLA   +2 more
openaire   +1 more source