Certain condition on the second fundamental form of CR submanifolds of maximal CR dimension of complex Euclidean space

被引：0
作者：
Mirjana Djorić
Masafumi Okumura
机构：
[1] University of Belgrade,Faculty of Mathematics
[2] 5-25-25,undefined
[3] Minami Ikuta,undefined
[4] Tama-ku,undefined
来源：
Annals of Global Analysis and Geometry | 2006年 / 30卷
关键词：
CR submanifold; complex Euclidean space; second fundamental form; almost contact metric structure;
D O I：
暂无
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学科分类号：
摘要：
We treat m-dimensional real submanifolds M of complex space forms ̿M when the maximal holomorphic tangent subspace is (m−1)-dimensional. On these manifolds there exists an almost contact structure F which is naturally induced from the ambient space and in this paper we study the condition h(FX,Y)−h(X,FY) = g(FX,Y)η, η∊ T⊥(M), on the structure F and on the second fundamental form h of these submanifolds. Especially when the ambient space ̿M is a complex Euclidean space, we obtain a complete classification of submanifolds M which satisfy these conditions.
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页码：383 / 396
页数：13
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