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There are 14 papers published in subject: > since this site started. |
Results per page: | 14 Total, 2 Pages | << First < Previous 1 2 |
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1. Harmonic functions on complete minimal submanifolds | |||
Zhang Xi | |||
Mathematics 28 December 2009 | |||
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Abstract:In this paper, we consider bounded harmonic functions on complete minimal submanifold Mn in RN. When n≥3 and under some conditions, in particulary with finite total scalar curvature, we obtain that the dimension of the space of bounded harmonic functions is equivalent to the number of ends on Mn. | |||
TO cite this article:Zhang Xi. Harmonic functions on complete minimal submanifolds[OL].[28 December 2009] http://en.paper.edu.cn/en_releasepaper/content/38148 |
2. Spacelike hypersurfaces with constant $r$-th mean curvature in the anti-de Sitter spaces | |||
Ximin Liu,Biaogui Wang | |||
Mathematics 19 January 2009 | |||
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Abstract:In this paper we investigate spacelike hypersurfaces $M$ with constant $r$-th mean curvature and two distinct principal curvatures in anti-de Sitter space $\\mathbb{H}^{n+1}_1(c)$. We give some characterizations of the hyperbolic cylinders in $\\mathbb{H}^{n+1}_1(c)$. | |||
TO cite this article:Ximin Liu,Biaogui Wang. Spacelike hypersurfaces with constant $r$-th mean curvature in the anti-de Sitter spaces[OL].[19 January 2009] http://en.paper.edu.cn/en_releasepaper/content/28031 |
3. Mean curvature flow with convex Gauss image | |||
Xin Yuanlong | |||
Mathematics 31 December 2005 | |||
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Abstract:We study the mean curvature flow of complete space-like submanifolds in pseudo-Euclidean space with bounded Gauss image, as well as that of complete submanifolds in Euclidean space with convex Gauss image. By using the confinable property of the Gauss image under the mean curvature flow we prove the long time existence results in both cases. We also study the asymptotic behavior of these solutions when t going to infinity. | |||
TO cite this article:Xin Yuanlong. Mean curvature flow with convex Gauss image[OL].[31 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4817 |
4. Ricci curvature and fundamental group | |||
Xin Yuanlong | |||
Mathematics 31 December 2005 | |||
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Abstract:By refined volume estimates in terms of Ricci curvature we generalize two results due to J.~Milner in [5] . | |||
TO cite this article:Xin Yuanlong. Ricci curvature and fundamental group[OL].[31 December 2005] http://en.paper.edu.cn/en_releasepaper/content/4810 |
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