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CODIMENSION REDUCTION FOR SUBMANIFOLDS OF UNIT (4m+3)-SPHERE AND ITS APPLICATIONS

  • Kim, Hyang Sook (Department of Applied Mathematics Institute of Basic Science Inje University) ;
  • Pak, Jin Suk (Kyungpook National University)
  • Received : 2013.03.07
  • Published : 2014.09.30

Abstract

In this paper we establish codimension reduction theorem for submanifolds of a (4m+3)-dimensional unit sphere $S^{4m+3}$ with Sasakian 3-structure and apply it to submanifolds of a quaternionic projective space.

Keywords

codimension reduction;unit (4m + 3)-sphere;Sasakian 3-structure;normal connection;quaternionic projective space;L-flat;mean curvature vector;totally geodesic

Acknowledgement

Supported by : Inje University

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