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1. Hypersurfaces with Prescribed $lpha$-Relative Gauss-Kronecker Curvature | |||
WU Yadong,ZHAO Guosong | |||
Mathematics 25 December 2013 | |||
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Abstract:Considering the $lpha$-relative normalizationon hypersurfaces, we derive the equations of hypersurfaces with$lpha$-relative Gauss-Kronecker curvature. By solving two linkedMonge-Amp$grave{e}$re equations with Dirichlet boundary conditions,we construct hyperbolic hypersurfaces such that their$lpha$-relative Gauss-Kronecker curvature are the given functions. | |||
TO cite this article:WU Yadong,ZHAO Guosong. Hypersurfaces with Prescribed $lpha$-Relative Gauss-Kronecker Curvature[OL].[25 December 2013] http://en.paper.edu.cn/en_releasepaper/content/4578330 |
2. 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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