期刊文献+

关于S^(n+1)中极小等参超曲面的注记

Remark on isoparametric minimal hypersurfaces of S^(n+1)
下载PDF
导出
摘要 单位球面 Sn+1中的等参极小超曲面仅是 1 -型的或 2 -型的。从而 Bryant猜测的答案是否定的。 The isoparametric minimal hypersurface of [WT5”BX]S n+1 [WT5”BZ]is only a 1 type or 2 type.The Byrant conjecture is denied.
出处 《湖北师范学院学报(自然科学版)》 2000年第4期23-24,39,共3页 Journal of Hubei Normal University(Natural Science)
关键词 等参 极小 常主曲率 isoparametric minimal constant principal curvature
  • 相关文献

参考文献7

  • 1Simons J. Minimal varieties in a Riemannian manifold. Ann. of math. 1968,88(2) : 62.
  • 2Chern S S,do Carmo,Kobayashi S. Minimal suhmanifolds of a sphere with second fundamental form of constant length. Functional Analysis and Reated Fields,edited by F. Browder,Springer Verlag, Berlin, 1970,59.
  • 3Lawson H B. Local rigidity theorems for minimal hypersurface. Ann. of Math. 1969,89(2):187.
  • 4Cantan E. Sur aes farmills remarquables d'hyper surfaces isoparumetriques dans espaces spheriques. Math. 1939, Z45:335.
  • 5Yau S T. Problem section. Seminer on differential geomatry, Priceton University, 1982.
  • 6Peng C K, Terng C L. Minimal hypersurface of sphere with constant scalar curvature. Seminar on Minimal Submanifolds. Priceton University. 1987,177.
  • 7Chang S. On minimal hypersurfaces with constant scalar curvature in S4. J. of Diff. Geo. ,1993,37:523.

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