Chinese Quarterly Journal of Mathematics ›› 1992, Vol. 7 ›› Issue (4): 76-83.

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Finite Type Non-Minimal Submanifolds

  


  1. Henan University,Xuzhou Teachers College Kaifeng
  • Received:1991-07-04 Online:1992-12-30 Published:2025-06-23
  • Supported by:
     Supported by the National Fundations of Natural sciences. Supported by the Henan Fundations of Scientific Committee.

Abstract:  The notion of finite type submanifolds was introduced by B. Y. Chen. In this paper we consider the characteristics and the classifications of finite type non-minimal submanifolds.The characteristic theorems of 2-type Chen submanifolds,mass-symmetrie hypersurfaces and Dupin hypersurfaces in E3m are obtained. The classification theorems of 3-type hypersurfaces and null 2-type curves in E3m are also proved.

Key words: Finite Type Submanifolds, Minimal Submanifolds