Results 51 to 60 of about 5,326,818 (348)
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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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
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Factorable Surfaces in Pseudo-Galilean Space with Prescribed Mean and Gaussian Curvatures
Journal of New Theory, 2022 We study the so-called factorable surfaces in the pseudo-Galilean space, the graphs of the product of two functions of one variable. We then classify these surfaces when the mean and Gaussian curvatures are functions of one variable.
Muhittin Evren Aydın +2 more
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Highly Degenerate Harmonic Mean Curvature Flow [PDF]
, 2008 We study the evolution of a weakly convex surface $\Sigma_0$ in $\R^3$ with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal regularity of the surface and we show that the boundaries of the flat
Caputo, M. Cristina +1 more
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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
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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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Constant mean curvature surfaces in AdS_3 [PDF]
, 2010 We construct constant mean curvature surfaces of the general finite-gap type in AdS_3. The special case with zero mean curvature gives minimal surfaces relevant for the study of Wilson loops and gluon scattering amplitudes in N=4 super Yang-Mills.
A Jevicki +27 more
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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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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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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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