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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

Yılmaz Gündüzalp

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.