Results 1 to 10 of about 5,444,053 (367)
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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Weighted Ricci curvature in Riemann-Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold.
Zhongmin Shen
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How Membrane Geometry Regulates Protein Sorting Independently of Mean Curvature [PDF]
ACS Central Science, 2020 Jannik B. Larsen +13 more
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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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Motion by crystalline-like mean curvature: A survey
Bulletin of Mathematical Sciences, 2022 We consider a class of anisotropic curvature flows called crystalline curvature flows. We present a survey on this class of flows with special emphasis on the well-posedness of its initial value problem.
Yoshikazu Giga, Norbert Požár
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Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$
Universal Journal of Mathematics and Applications, 2023 In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ denotes the Laplace operator with respect to the first fundamental form.
Tuğçe Dirim, Betül Bulca Sokur
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On inextensible ruled surfaces generated via a curve derived from a curve with constant torsion
AIMS Mathematics, 2023 If both the arc length and the intrinsic curvature of a curve or surface are preserved, then the flow of the curve or surface is said to be inextensible. The absence of motion-induced strain energy is the physical characteristic of inextensible curve and
Nural Yüksel, Burçin Saltık
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The fractional mean curvature flow
Bruno Pini Mathematical Analysis Seminar, 2020 In this note, we present some recent results in the study of the fractional mean curvature flow, that is a geometric evolution of the boundary of a set whose speed is given by the fractional mean curvature.
Eleonora Cinti
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