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Year 2010, Volume: 39 Issue: 1, 41 - 53, 03.07.2019

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SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS

Year 2010, Volume: 39 Issue: 1, 41 - 53, 03.07.2019

Abstract

In this paper, we introduce the idea of a lightlike submersion from
a semi-Riemannian manifold onto a lightlike manifold, and give some
examples. Then we define O’Neill’s tensors for such submersions and
investigate their main properties. We show that the Schouten connection is not a metric connection in a lightlike submersion. We also investigate curvature properties of the manifolds and establish a relation
between the null sectional curvatures of a semi-Riemannian manifold
and a lightlike manifold. 

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There are 1 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

Bayram Şahin This is me

Yılmaz Gündüzalp This is me

Publication Date July 3, 2019
Published in Issue Year 2010 Volume: 39 Issue: 1

Cite

APA Şahin, B., & Gündüzalp, Y. (n.d.). SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS. Hacettepe Journal of Mathematics and Statistics, 39(1), 41-53.
AMA Şahin B, Gündüzalp Y. SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS. Hacettepe Journal of Mathematics and Statistics. 39(1):41-53.
Chicago Şahin, Bayram, and Yılmaz Gündüzalp. “SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics 39, no. 1 n.d.: 41-53.
EndNote Şahin B, Gündüzalp Y SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS. Hacettepe Journal of Mathematics and Statistics 39 1 41–53.
IEEE B. Şahin and Y. Gündüzalp, “SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 1, pp. 41–53.
ISNAD Şahin, Bayram - Gündüzalp, Yılmaz. “SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics 39/1 (n.d.), 41-53.
JAMA Şahin B, Gündüzalp Y. SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS. Hacettepe Journal of Mathematics and Statistics.;39:41–53.
MLA Şahin, Bayram and Yılmaz Gündüzalp. “SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 1, pp. 41-53.
Vancouver Şahin B, Gündüzalp Y. SUBMERSION FROM SEMI-RIEMANNIAN MANIFOLDS ONTO LIGHTLIKE MANIFOLDS. Hacettepe Journal of Mathematics and Statistics. 39(1):41-53.