Co-screen conformal half-lightlike submanifolds

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Published: Dec 31, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.1232
Keywords:
Half-lightlike submanifold semi-Riemannian manifold co-screen conformal induced Ricci tensor.

Main Article Content

Yaning Wang
Ximin Liu

Abstract

In this paper, we introduce and study the geometry of half lightlike submanifold $M$ of a semi-Riemannian manifold $\overline{M}$ satisfying that the shape operator of screen transversal bundle is conformal to the shape operator of lightlike transversal bundle of $M$. Using this geometric condition we obtain some results to characterize the unique existence of screen distribution of $M$, also, we present some sufficient conditions for the induced Ricci curvature tensor of $M$ to be symmetric.

Article Details

How to Cite
Wang, Y., & Liu, X. (2013). Co-screen conformal half-lightlike submanifolds. Tamkang Journal of Mathematics, 44(4), 431–444. https://doi.org/10.5556/j.tkjm.44.2013.1232
Issue
Vol. 44 No. 4 (2013)
Section
Papers
Author Biographies

Yaning Wang

Department ofMathematics, South China University of Technology, Guangzhou 510641, Guangdong, P. R. China.

Ximin Liu

School ofMathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, P. R. China.

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