期刊文献+

Anti-de Sitter空间中全脐类空超曲面的分类

Some Characterizations of Totally Umbilical Spacelike Hypersurfaces in Anti-de Sitter SpaceH_1^(n+1)
下载PDF
导出
摘要 讨论了anti-de Sitter空间中类空超曲面的第K平均曲率,并利用积分公式得到全脐超曲面的分类。 We consider the Sk$-th mean curvature for spacelike hypersurfaces, which is a gen- eralization of the usual mean curvature. By using an integral formula of Minkowski type for compact spacelike hypersurfaces in H1 n+1 , we introduce some characterizations of totally umbili- cal hypersurfaces.
出处 《云南师范大学学报(自然科学版)》 2012年第4期23-25,共3页 Journal of Yunnan Normal University:Natural Sciences Edition
基金 长江大学文理学院科学研究基金项目(WLKY201101)
关键词 第K平均曲率 类空超曲面超 全脐 K-th mean curvature Spacelike hypersurfaces Totally umbilical
  • 相关文献

参考文献7

二级参考文献7

  • 1Goddard A J.Some remarks on the existence of space-like hypersurfaces of constant mean curvature.Math Proc Cambrige Phil Soc,1977,82:489-495 被引量:1
  • 2Montiel S.An integral inequality for compact space-like hypersurfaces in de Sitter space and applications to the case of constant mean curvature.Indiana Vniv Math J,1988,37:909-917 被引量:1
  • 3Aledo J A,Alías L J,Romero A.Integral formulas for compact space-like hypersurfaces in de Sitter space:Applications to the case of constant higher order mean curvature.Geom Phy,1999,31:195-208 被引量:1
  • 4Aledo J A,Alías L J.Curvature properties of compact spacelike hypersurfaces in de Sitter space.Differential Geom Appl,2001,14:137-149 被引量:1
  • 5Ulo Lumiste.Semi-parallel time-like surfaces in Lorentzian spacetime forms.Differential Geom Appl,1997,7:59-74 被引量:1
  • 6Hardy G,Littlewood J E,Poyla G.Inequalities.Cambridge:Cambridge University Press,1952 被引量:1
  • 7李海中,陈维桓.De Sitter空间中紧致类空超曲面的积分公式及其Goddard猜想的应用[J].数学学报(中文版),1998,41(4):807-810. 被引量:9

共引文献11

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部