Results 41 to 50 of about 5,326,818 (348)
Local entropy and generic multiplicity one singularities of mean curvature flow of surfaces [PDF]
Journal of differential geometry, 2018 In this paper we prove that the generic singularity of mean curvature flow of closed embedded surfaces in $\mathbb R^3$ modelled by closed self-shrinkers with multiplicity has multiplicity one.
Ao Sun
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On Total Shear Curvature of Surfaces in E^{n+2}
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺².
Kadri Arslan, Betül Bulca
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Circulant preconditioners for mean curvature-based image deblurring problem
Journal of Algorithms & Computational Technology, 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 produces a nonlinear ill-conditioned system which affects the ...
Shahbaz Ahmad, Faisal Fairag
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The global geometry of surfaces with prescribed mean curvature in ℝ³ [PDF]
Transactions of the American Mathematical Society, 2018 We develop a global theory for complete hypersurfaces in R n + 1 \mathbb {R}^{n+1} whose mean curvature is given as a prescribed function of its Gauss map.
Antonio Bueno, J. A. Gálvez, Pablo Mira
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Width and mean curvature flow [PDF]
Geometry & Topology, 2008 Given a Riemannian metric on a homotopy $n$-sphere, sweep it out by a continuous one-parameter family of closed curves starting and ending at point curves. Pull the sweepout tight by, in a continuous way, pulling each curve as tight as possible yet preserving the sweepout.
Colding, Tobias H +1 more
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Examples of surfaces of constant mean curvature
Дифференциальная геометрия многообразий фигур, 2019 A surface in E3 is called parallel to the surface M if it consists of the ends of constant length segments, laid on the normals to the surfaces at points of this surface. The tangent planes at the corresponding points will be parallel.
M. A. Cheshkova
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Recent rigidity results for graphs with prescribed mean curvature
Mathematics in Engineering, 2021 This survey describes some recent rigidity results obtained by the authors for the prescribed mean curvature problem on graphs u : M → R. Emphasis is put on minimal, CMC and capillary graphs, as well as on graphical solitons for the mean curvature flow ...
Bruno Bianchini +5 more
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Remarks on mean curvature flow solitons in warped products [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2018 We study some properties of mean curvature flow solitons in general Riemannian manifolds and in warped products, with emphasis on constant curvature and Schwarzschild type spaces.
G. Colombo, L. Mari, M. Rigoli
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Mean curvature flow with surgery [PDF]
Duke Mathematical Journal, 2017 We give a new proof for the existence of mean curvature flow with surgery of 2-convex hypersurfaces in $R^N$, as announced in arXiv:1304.0926. Our proof works for all $N \geq 3$, including mean convex surfaces in $R^3$. We also derive a priori estimates for a more general class of flows in a local and flexible setting.
Haslhofer, Robert, Kleiner, Bruce
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Symmetry of hypersurfaces and the Hopf Lemma
Mathematics in Engineering, 2023 A classical theorem of A. D. Alexandrov says that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere.
YanYan Li
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