Fullness and scalar curvature of the totally real submanifolds in 
Abstract
Let M be a totally rea1 3-dimensional submanifold of the nearly Kähler 6-sphere . Theorems are proven on the relation between the fullness and the scalar curvature R of M. In particular, if either R is a constant different from 2, or M is compact with 
, then M is full in 
unless M is totally geodesic. A family of examples with 
, which are fully contained in some great hypersphere 
, are also defined in an explicit manner.
. Theorems are proven on the relation between the fullness and the scalar curvature R of M. In particular, if either R is a constant different from 2, or M is compact with , then M is full in unless M is totally geodesic. A family of examples with , which are fully contained in some great hypersphere , are also defined in an explicit manner.DOI Code:
10.1285/i15900932v16n1p105
Keywords:
Fullness scalar curvature; Totally real submanifolds; Nearly Kähler structure; Minimality
Classification:
53C42
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