数学季刊 ›› 1996, Vol. 11 ›› Issue (2): 30-34.

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Remarks on the Veronese Generating Submanifolds in Minkoski Space

  

  1. Henan  University,Kaifeng,475001


  • 收稿日期:1994-12-29 出版日期:1996-06-30 发布日期:2025-01-07
  • 基金资助:
    Supported by the Henan Fundations of Education Committee. 

Remarks on the Veronese Generating Submanifolds in Minkoski Space

  1. Henan  University,Kaifeng,475001
  • Received:1994-12-29 Online:1996-06-30 Published:2025-01-07
  • Supported by:
    Supported by the Henan Fundations of Education Committee. 

摘要: In this paper,the minimal conjecture on the Veronese Generating submanifolds in S(1) is generalized to minmal submanifolds in S". Two  classes  of  the  Generating  submanifolds  of  spherical  minimal   submanifolds  in Minkowski space are respectively space-like Minimal submanifolds of Hyperbolic space and  pseudo-Rie-mannian Minimal submanifolds of pseudo-Riemannian sphere and they are of l-type   submanifolds in Minkowski space is proved.

关键词:  , finite type submanifolds, minimal submanifolds, Minkowski space, Veronese Gener- ating submanifolds

Abstract: In this paper,the minimal conjecture on the Veronese Generating submanifolds in S(1) is generalized to minmal submanifolds in S". Two  classes  of  the  Generating  submanifolds  of  spherical  minimal   submanifolds  in Minkowski space are respectively space-like Minimal submanifolds of Hyperbolic space and  pseudo-Rie-mannian Minimal submanifolds of pseudo-Riemannian sphere and they are of l-type   submanifolds in Minkowski space is proved.

Key words:  , finite type submanifolds, minimal submanifolds, Minkowski space, Veronese Gener- ating submanifolds

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