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数量曲率刻划的球面中紧致极小子流形 被引量:2

The Compact Minimal Submanifold Characted by Scalar Curuature in Sphere
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摘要 从数量曲率的角度。 Characted compact minimal submanifold in sphere by Scalar curvature, and have obtained some properties
作者 吴金文
出处 《湖南师范大学自然科学学报》 CAS 北大核心 2001年第2期12-14,共3页 Journal of Natural Science of Hunan Normal University
关键词 数量曲率 紧致极小子流形 标准浸入 Veronese曲面 球面 scalar curveture minimal submanifold standard immersion veronese suraface
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参考文献2

  • 1Yau S T,Am J Math,1975年,97卷,1期,76页
  • 2Chern S S,Functional Analysis and Related Fields,1970年,59页

同被引文献11

  • 1忻元龙.极小曲面的Bernstein型定理与Gauss映照的值分布[J].数学进展,1989,18(4):402-411. 被引量:2
  • 2DAJCZER M, GROMOLL D. Gauss parametrizations and rigidity aspects of submanifolds[ J]. J Differential Geom, 1985,22 (1) :1-12.
  • 3ALMEIDA S, BRITO F. Minimal hypersurfaces with constant Gauss-Kronecker curvature [ J ]. Math Z, 1987,195 ( 8 ) :99-107.
  • 4ALMEIDA S, BRITO F. Closed hypersurfaces of S4 ( 1 ) with two constant symmetric curvature [ j ]. Ann Fac Sci Toulouse Math, 1997,6(6) : 187-202.
  • 5CHENG Q M, SUH Y J. Maximal space-like hypersurfaces in ( - 1 ) with zero Gauss-Kronecker curvature[ J]. Korean Math Soc, 2006,43(1):147-157.
  • 6CHENG Q M. Hypersurfaces with constant quasi-Gauss-Kronecker curvature in S4 (1) [J]. Adv in Math, 1993,22(2) :125- 132.
  • 7CHENG Q M. Complete space-like submanifolds in a de Sitter space with parallel mean curvature vector[ J]. Math Z, 1991, 206(3) :333-339.
  • 8HASANIS T, SAVAS-HALILAJ A, VLACHOS T. Minimal hypersurfaees with zero Gauss-Kronecker curvature[ Jl. Ill J Math, 2005,49 (2) :523-529.
  • 9HASANIS T, SAVAS-HALILAJ A, VLACHOS T. Complete minimal hypersurfaces in the hyperbolic space//4 with vanishing Gauss-Kronecker curvature [ J ]. Trans Am Math Soc, 2007,359 (6) :2799-2818.
  • 10HASANIS T, SAVAS-HALILAJ A, VLACHOS T. Complete minimal hypersurfaces in S4 with zero Gauss-Kronecker curvature [J]. Math Proc Camb Philos Soc, 2007,142(1) :125-132.

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