Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds

被引：0

作者：

K. L. Duggal

B. Sahin

机构：

[1] University of Windsor,Department of Mathematics and Statistics

[2] Inonu University,Department of Mathematics

来源：

Acta Mathematica Hungarica | 2009年 / 122卷

关键词：

degenerate metric; CR-submanifolds; Sasakian manifolds; 53C15; 53C40; 53C50;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study a class of submanifolds, called Generalized Cauchy-Riemann (GCR) lightlike submanifolds of indefinite Sasakian manifolds as an umbrella of invariant, screen real, contact CR lightlike subcases [8] and real hypersurfaces [9]. We prove existence and non-existence theorems and a characterization theorem on minimal GCR-lightlike submanifolds.

引用

页码：45 / 58

页数：13

共 14 条

[1]

Bejan C. L.(2005)Global lightlike manifolds and harmonicity Kodai Math. J. 28 131-145

[2]

Duggal K. L.(1990)Spacetime manifolds and contact structures Int. J. Math. and Math. Sci. 13 545-554

[3]

Duggal K. L.(2005)Screen Cauchy Riemann lightlike submanifolds Acta Math. Hungar. 106 137-165

[4]

Duggal K. L.(2006)Generalized Cauchy Riemann lightlike submanifolds of Kaehler manifolds Acta Math. Hungar. 112 107-130

[5]

Sahin B.(2003)Lightlike hypersurfaces of indefinite Sasakian manifolds Indian J. Pure and Appl., Math. 34 1369-1380

[6]

Duggal K. L.(1969)Sasakian manifolds with pseudo-Riemannian metric Tôhoku Math. J. 21 271-290

[7]

Sahin B.(1969)Sasakian manifolds with constant ϕ-halomorphic sectional curvature Tôhoku Math. J. 21 501-507

[8]

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[9]

Jung S. D.(undefined)undefined undefined undefined undefined-undefined

[10]

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