Results 11 to 20 of about 5,326,818 (348)
Spacelike Mean Curvature Flow [PDF]
The Journal of Geometric Analysis, 2019 AbstractWe prove long-time existence and convergence results for spacelike solutions to mean curvature flow in the pseudo-Euclidean space$$\mathbb {R}^{n,m}$$Rn,m, which are entire or defined on bounded domains and satisfying Neumann or Dirichlet boundary conditions. As an application, we prove long-time existence and convergence of the$${{\,\mathrm{G}\
Ben Lambert, Jason D. Lotay
openaire +6 more sources
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
doaj +1 more source
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
semanticscholar +1 more source
Surfaces of Constant Mean Curvature [PDF]
Proceedings of the American Mathematical Society, 1966 Joseph A. Wolf
openaire +3 more sources
How Membrane Geometry Regulates Protein Sorting Independently of Mean Curvature. [PDF]
ACS Cent Sci, 2020 Larsen JB +13 more
europepmc +2 more sources
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
semanticscholar +1 more source
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
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
Cubo, 2023 In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality ...
Mohd Danish Siddiqi +3 more
doaj +1 more source