Generic submanifolds of generalized complex space forms

被引:0
|
作者
Tripathi, MM [1 ]
机构
[1] UNIV LUCKNOW,DEPT MATH & ASTRON,LUCKNOW 226007,UTTAR PRADESH,INDIA
来源
PUBLICATIONES MATHEMATICAE-DEBRECEN | 1997年 / 50卷 / 3-4期
关键词
generalized complex space form; holomorphic; totally real; slant; CR-; generalized CR-; generic and skew CR-submanifolds;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper we study generic submanifolds (in the sense of Ronsse) of generalized complex space forms, where such submanifolds generalize/imply holomorphic, totally real, slant, CR-, anti-holomorphic, f-, generic (in the sense of Chen), generalized CR-, and skew CR submanifolds. Some examples along with an open problem are given. A necessary and sufficient condition for integrability of totally real distribution has been found. Ricci tensor and scalar curvature of generic submanifolds have been studied. The paper ends with some results for totally umbilical generic submanifolds.
引用
收藏
页码:373 / 392
页数:20
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