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of 19 943
pro vyhledávání: '"P Alexandrov"'
In this paper, we provide an affirmative answer to [16, Conjecture 1.5] on the Alexandrov-Fenchel inequality for quermassintegrals for convex capillary hypersurfaces in the Euclidean half-space. More generally, we establish a theory for capillary con
Externí odkaz:
http://arxiv.org/abs/2408.13655
In this paper, an anisotropic volume-preserving mean curvature type flow for star-shaped anisotropic $\omega_0$-capillary hypersurfaces in the half-space is studied, and the long-time existence and smooth convergence to a capillary Wulff shape are ob
Externí odkaz:
http://arxiv.org/abs/2408.10740
Autor:
Santilli, Mario, Valentini, Paolo
In this paper we extend Alexandrov's sphere theorems for higher-order mean curvature functions to $ W^{2,n} $-regular hypersurfaces under a general degenerate elliptic condition. The proof is based on the extension of the Montiel-Ros argument to the
Externí odkaz:
http://arxiv.org/abs/2409.01061
Autor:
Fujioka, Tadashi
We prove that the extremal stratification of an Alexandrov space by Perelman-Petrunin is a CS stratification in the sense of Siebenmann. We also show that every space of directions of an Alexandrov space without proper extremal subsets is homeomorphi
Externí odkaz:
http://arxiv.org/abs/2404.14587
We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp quantitative version of the Alexandrov inequality for $C^2$-regular sets
Externí odkaz:
http://arxiv.org/abs/2406.17691
Autor:
Mei, Xinqun, Weng, Liangjun
In this article, we first introduce the quermassintegrals for compact hypersurfaces with capillary boundaries in hyperbolic space from a variational viewpoint, and then we solve an isoperimetric type problem in hyperbolic space. By constructing a new
Externí odkaz:
http://arxiv.org/abs/2406.07304
Autor:
Jia, Xiaohan, Zhang, Xuwen
In this paper, we prove the quantitative version of the Alexandrov theorem for capillary hypersurfaces in the half-space. The proof is based on the quantitative analysis of the Montiel-Ros-type argument, carried out in the joint works with Wang-Xia \
Externí odkaz:
http://arxiv.org/abs/2403.06597
Autor:
Mitsuishi, Ayato, Yamaguchi, Takao
As a continuation of [MY], we determine the topologies of collapsing three-dimensional compact Alexandrov spaces with nonempty boundary.
Comment: 59 pages, 2 figures
Comment: 59 pages, 2 figures
Externí odkaz:
http://arxiv.org/abs/2401.11400
Autor:
Kimura, Kaito
Let $R$ be a Cohen-Macaulay local ring. In this paper, we first describe the radicals of annihilators of stable categories of maximal Cohen-Macaulay $R$-modules. We then prove that the Alexandrov topology of the stable category of maximal Cohen-Macau
Externí odkaz:
http://arxiv.org/abs/2401.04987
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