Results 41 to 50 of about 703,577 (334)
Blow-up of the mean curvature at the first singular time of the mean curvature flow [PDF]
Calculus of Variations and PDEs, June 2016, 55:65, 2013 It is conjectured that the mean curvature blows up at the first singular time of the mean curvature flow in Euclidean space, at least in dimensions less or equal to 7. We show that the mean curvature blows up at the singularities of the mean curvature flow starting from an immersed closed hypersurface with small L^2-norm of the traceless second ...
arxiv +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
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Heat content and mean curvature [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1998 We use distance function methods to obtain results on the heat content of a domain in an arbitrary Riemannian manifold. In particular, we give an algorithm for the calculation of the complete asymptotic series (for small times) of the heat content of a ...
A. Savo
doaj
Bernstein-type theorems in hypersurfaces with constant mean curvature
Anais da Academia Brasileira de Ciências, 2000 By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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Geometric Inequalities for a Submanifold Equipped with Distributions
Mathematics, 2022 The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
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Mean Curvature Flow, Orbits, Moment Maps [PDF]
, 2002 Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbits and some applications: eg, finding minimal orbits. We then specialize to Lagrangian orbits in Kaehler manifolds.
Pacini, T.
core +2 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
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Nonlocal diffusion of smooth sets
Mathematics in Engineering, 2022 We consider normal velocity of smooth sets evolving by the $ s- $fractional diffusion. We prove that for small time, the normal velocity of such sets is nearly proportional to the mean curvature of the boundary of the initial set for $ s\in [\frac{1}{2},
Anoumou Attiogbe +2 more
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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
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Two new preconditioners for mean curvature-based image deblurring problem
AIMS Mathematics, 2021 The mean curvature-based image deblurring model is widely used to enhance the quality of the deblurred images. However, the discretization of the associated Euler-Lagrange equations produce a nonlinear ill-conditioned system which affect the convergence ...
Shahbaz Ahmad +2 more
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