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

Title & Authors
CODIMENSION REDUCTION FOR SUBMANIFOLDS OF UNIT (4m+3)-SPHERE AND ITS APPLICATIONS
Kim, Hyang Sook; Pak, Jin Suk;

Abstract
In this paper we establish codimension reduction theorem for submanifolds of a (4m+3)-dimensional unit sphere $\small{S^{4m+3}}$ 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;
Language
English
Cited by
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