Results 1 to 10 of about 5,400,024 (317)
Signal Processing, 2019 In image processing tasks, spatial priors are essential for robust computations, regularization, algorithmic design and Bayesian inference. In this paper, we introduce weighted mean curvature (WMC) as a novel image prior and present an efficient ...
Goksel, Orcun, Gong, Yuanhao
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Spacelike Mean Curvature Flow [PDF]
The Journal of Geometric Analysis, 2018 We prove long-time existence and convergence results for spacelike solutions to mean curvature flow in the pseudo-Euclidean space Rn,m\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Ben Lambert, Jason D. Lotay
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Mean Curvature in the Light of Scalar Curvature [PDF]
Annales de l'Institut Fourier, 2018 We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bonds on their scalar curvatures, and prove a few theorems motivating these conjectures.
M. Gromov
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Surfaces of constant mean curvature [PDF]
Proceedings of the American Mathematical Society, 1966 Joseph A. Wolf
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The mean curvature for $p$-plane [PDF]
Journal of Differential Geometry, 1973 Shun-ichi Tachibana
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Mean Curvature of Riemannian Foliations [PDF]
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 ...
Peter March, Maung Min-Oo, Ernst A. Ruh
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Scalar and mean curvature comparison via the Dirac operator [PDF]
Geometry & Topology, 2021 We use the Dirac operator technique to establish sharp distance estimates for compact spin manifolds under lower bounds on the scalar curvature in the interior and on the mean curvature of the boundary.
Simone Cecchini, Rudolf Zeidler
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Uniqueness of convex ancient solutions to mean curvature flow in higher dimensions
Geometry and Topology, 2021 Suppose that Mt, t ∈ (−∞, 0), is a noncompact ancient solution of mean curvature flow in Rn+1 which is strictly convex, uniformly two-convex, and noncollapsed. We consider the rescaled flow M̄τ = e τ 2 M−e−τ .
S. Brendle, Kyeongsu Choi
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Mean curvature flow with generic initial data [PDF]
Inventiones Mathematicae, 2020 We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ R 3 avoids asymptotically conical and non-spherical compact singularities. We also show that the mean curvature flow of generic closed low-entropy hypersurfaces in
Otis Chodosh +3 more
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Uniqueness of two-convex closed ancient solutions to the mean curvature flow [PDF]
Annals of Mathematics, 2018 In this paper we consider closed non-collapsed ancient solutions to the mean curvature flow ($n \ge 2$) which are uniformly two-convex. We prove that any two such ancient solutions are the same up to translations and scaling.
S. Angenent +2 more
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