Semi-slant submanifolds of a Sasakian manifold

被引：151

作者：

Cabrerizo, JL ^{[1
]}

Carriazo, A ^{[1
]}

Fernández, LM ^{[1
]}

Fernández, M ^{[1
]}

机构：

[1] Univ Sevilla, Fac Matemat, Dept Geometria & Topol, E-41080 Seville, Spain

来源：

GEOMETRIAE DEDICATA | 1999年 / 78卷 / 02期

关键词：

Sasakian manifold; slant submanifold; slant distribution; bi-slant submanifold; semi-slant submanifold;

D O I：

10.1023/A:1005241320631

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define and study both bi-slant and semi-slant submanifolds of an almost contact metric manifold and, in particular, of a Sasakian manifold. We prove a characterization theorem for semi-slant submanifolds and we obtain integrability conditions for the distributions which are involved in the definition of such submanifolds. We also study an interesting particular class of semi-slant submanifolds.

引用

页码：183 / 199

页数：17

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