Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds

Mehmet Gülbahar; Mehmet Gülbahar

doi:10.3934/math.2021085

AIMS Mathematics

2021, Volume 6, Issue 2: 1366-1376. doi: 10.3934/math.2021085

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Research article

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds

Mehmet Gülbahar ^,

Department of Mathematics, Faculty of Arts and Sciences, Harran University, 44280 Şanlıurfa, Turkey

Received: 28 August 2020 Accepted: 09 November 2020 Published: 18 November 2020
MSC : 53C42, 53C50

Some relations involving the qualar and null sectional curvatures for a pseudo Riemannian manifold are obtained. These curvatures are also investigated for pseudo-Riemannian submanifolds. Obtained relations are discussed for some special submanifolds of a Lorentzian manifold.
- qualar curvature,
- null sectional curvature,
- pseudo-Riemannian submanifold,
- Lorentzian manifold
Citation: Mehmet Gülbahar. Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds[J]. AIMS Mathematics, 2021, 6(2): 1366-1376. doi: 10.3934/math.2021085

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Abstract

Some relations involving the qualar and null sectional curvatures for a pseudo Riemannian manifold are obtained. These curvatures are also investigated for pseudo-Riemannian submanifolds. Obtained relations are discussed for some special submanifolds of a Lorentzian manifold.

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