Transversal lightlike submanifolds of indefinite sasakian manifolds

被引：10

作者：

Yildirim, Cumali ^{[1
]}

Sahin, Bayram ^{[2
]}

机构：

[1] Adiyaman Univ, Fac Sci & Arts, Dept Math, TR-02210 Adiyaman, Turkey

[2] Inonu Univ, Fac Sci & Arts, Dept Math, TR-44280 Malatya, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2010年 / 34卷 / 04期

关键词：

Indefinite Sasakian Manifold; Lightlike Submanifold; Radical Transversal Lightlike Submanifold; Transversal Lightlike Submanifold;

D O I：

10.3906/mat-0904-10

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study both radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds We give examples, investigate the geometry of distributions and obtain necessary and sufficient conditions for the induced connection on these submanifolds to be metric connection We also study totally contact umbilical radical transversal and transversal lightlike submanifolds of indefinite Sasakian manifolds and obtain a classification theorem for totally contact umbilical transversal lightlike submanifolds

引用

页码：561 / 583

页数：23

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