Results 21 to 30 of about 5,400,024 (317)
On Submanifolds with Harmonic Mean Curvature [PDF]
Proceedings of the American Mathematical Society, 1995 The classification of curves in E m {E^m} with harmonic mean curvature vector field in the normal bundle is obtained and then it is used to obtain some applications.
Manuel Barros, Oscar J. Garay
openaire +2 more sources
Universality in mean curvature flow neckpinches [PDF]
, 2014 We study noncompact surfaces evolving by mean curvature flow. Without any symmetry assumptions, we prove that any solution that is $C^3$-close at some time to a standard neck will develop a neckpinch singularity in finite time, will become asymptotically
Gang, Zhou, Knopf, Dan
core +2 more sources
Local entropy and generic multiplicity one singularities of mean curvature flow of surfaces [PDF]
Journal of differential geometry, 2018 In this paper we prove that the generic singularity of mean curvature flow of closed embedded surfaces in $\mathbb R^3$ modelled by closed self-shrinkers with multiplicity has multiplicity one.
Ao Sun
semanticscholar +1 more source
Mean curvature flow and Riemannian submersions [PDF]
, 2015 We give a sufficient condition ensuring that the mean curvature flow commutes with a Riemannian submersion and we use this result to create new examples of evolution by mean curvature flow.
Pipoli, Giuseppe
core +3 more sources
Existence of mean curvature flow singularities with bounded mean curvature
Duke Mathematical Journal, 2023 44 pages, comments ...
openaire +2 more sources
Gaussian mean curvature flow [PDF]
Journal of Evolution Equations, 2010 10 ...
A. A. Borisenko, Vicente Miquel
openaire +3 more sources
Maslov, Chern-Weil and Mean Curvature [PDF]
, 2018 We provide an integral formula for the Maslov index of a pair $(E,F)$ over a surface $\Sigma$, where $E\rightarrow\Sigma$ is a complex vector bundle and $F\subset E_{|\partial\Sigma}$ is a totally real subbundle.
Pacini, Tommaso
core +2 more sources
The global geometry of surfaces with prescribed mean curvature in ℝ³ [PDF]
Transactions of the American Mathematical Society, 2018 We develop a global theory for complete hypersurfaces in R n + 1 \mathbb {R}^{n+1} whose mean curvature is given as a prescribed function of its Gauss map.
Antonio Bueno, J. A. Gálvez, Pablo Mira
semanticscholar +1 more source
On the Minimization of Total Mean Curvature [PDF]
The Journal of Geometric Analysis, 2015 Equipe Equations aux derivees ...
Dalphin, Jeremy +3 more
openaire +5 more sources
Geometric Mean Curvature Lines on Surfaces Immersed in R3 [PDF]
, 2002 Here are studied pairs of transversal foliations with singularities, defined on the Elliptic region (where the Gaussian curvature $\mathcal K$ is positive) of an oriented surface immersed in $\mathbb R^3$.
Garcia, Ronaldo, Sotomayor, Jorge
core +3 more sources