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of 117
pro vyhledávání: '"Sheng, Weimin"'
In this paper, we first give some new characterizations of geodesic spheres in the hyperbolic space by the condition that hypersurface has constant weighted shifted mean curvatures, or constant weighted shifted mean curvature ratio, which generalize
Externí odkaz:
http://arxiv.org/abs/2402.04622
Autor:
Sheng, Weimin, Xue, Ke
In this paper the Orlicz-Minkowski problem for torsional rigidity, a generalization of the classical Minkowski problem, is studied. Using the flow method, we obtain a new existence result of solutions to this problem for general measures.
Commen
Commen
Externí odkaz:
http://arxiv.org/abs/2212.01824
Autor:
Sheng, Weimin, Xue, Ke
In this paper, we study the $L_p$-Gaussian Minkowski problem, which arises in the $L_p$-Brunn-Minkowski theory in Gaussian probability space. We use Aleksandrov's variational method with Lagrange multipliers to prove the existence of the logarithmic
Externí odkaz:
http://arxiv.org/abs/2212.01822
In this paper, we study Ricci flow on compact manifolds with a continuous initial metric. It was known from Simon that the Ricci flow exists for a short time. We prove that the scalar curvature lower bound is preserved along the Ricci flow if the ini
Externí odkaz:
http://arxiv.org/abs/2110.12157
Publikováno v:
Adv in Math. 2022
In this paper, the extended Musielak-Orlicz-Gauss image problem is studied. Such a problem aims to characterize the Musielak-Orlicz-Gauss image measure $\widetilde{C}_{G,\Psi,\lambda}(\Omega,\cdot)$ of convex body $\Omega$ in $\mathbb{R}^{n+1}$ conta
Externí odkaz:
http://arxiv.org/abs/2108.11657
In this paper, we consider asymptotically flat Riemannnian manifolds $(M^n,g)$ with $C^0$ metric $g$ and $g$ is smooth away from a closed bounded subset $\Sigma$ and the scalar curvature $R_g\ge 0$ on $M\setminus \Sigma$. For given $n\le p\le \infty$
Externí odkaz:
http://arxiv.org/abs/2012.14041
Publikováno v:
Advanced Nonlinear Studies, Vol 23, Iss 1 (2023)
Externí odkaz:
https://doaj.org/article/422138dccc094f918e859065fee0a6b0
Akademický článek
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Autor:
Sheng, Weimin, Yi, Caihong
We consider a shrinking flow of smooth, closed, uniformly convex hypersurfaces in (n+1)-dimensional Euclidean space with speed fu^{alpha}{sigma}_n^{beta}, where u is the support function of the hypersurface, alpha, beta are two constants, and beta>0,
Externí odkaz:
http://arxiv.org/abs/1905.04679
Autor:
Sheng, Weimin, Yi, Caihong
Publikováno v:
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Volume 40, Number 4, April 2020
We consider an expanding flow of smooth, closed, uniformly convex hypersurfaces in (n+1)-dimensional Euclidean space with speed fu^{alpha}{sigma}_k^{beta}, where u is the support function of the hypersurface, alpha, beta are two constants, and beta>0
Externí odkaz:
http://arxiv.org/abs/1905.04713