<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In this paper different curvature tensors on Lorentzian Kenmotsu manifod are studied. We investigate constant <italic>ϕ</italic>–holomorphic sectional curvature and <italic>ℒ</italic>-sectional curvature of Lorentzian Kenmotsu manifolds, obtaining conditions for them to be constant of Lorentzian Kenmotsu manifolds in such condition. We calculate the Ricci tensor and scalar curvature for all the cases. Moreover we investigate some properties of semi invariant submanifolds of a Lorentzian Kenmotsu space form. We show that if a semi-invariant submanifold of a Lorentzian Kenmotsu space form M is totally geodesic, then M is an <italic>η−</italic>Einstein manifold. We consider sectional curvature of semi invariant product of a Lorentzian Kenmotsu manifolds.</p></abstract>

In this paper different curvature tensors on Lorentzian Kenmotsu manifod are studied. We investigate constant ϕ–holomorphic sectional curvature and ℒ-sectional curvature of Lorentzian Kenmotsu manifolds, obtaining conditions for them to be constant of Lorentzian Kenmotsu manifolds in such condition. We calculate the Ricci tensor and scalar curvature for all the cases. Moreover we investigate some properties of semi invariant submanifolds of a Lorentzian Kenmotsu space form. We show that if a semi-invariant submanifold of a Lorentzian Kenmotsu space form M is totally geodesic, then M is an η−Einstein manifold. We consider sectional curvature of semi invariant product of a Lorentzian Kenmotsu manifolds.

Some Properties Curvture of Lorentzian Kenmotsu Manifolds

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"Some Properties Curvture of Lorentzian Kenmotsu Manifolds"}

In this paper different curvature tensors on Lorentzian Kenmotsu manifod are studied. We investigate constant ϕ–holomorphic sectional curvature and ℒ-sectional...

Some Properties Curvture of Lorentzian Kenmotsu Manifolds

Published Online: Mar 31, 2020

Page range: 283 - 292

Received: Jun 24, 2019

Accepted: Aug 20, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00026

Keywords
Lorentz Kenmotsu manifold, projective curvature tensor, ℒ-sectional curvature, semi invariant submanifold

© 2020 Ramazan Sari, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Some Properties Curvture of Lorentzian Kenmotsu Manifolds

Published Online: Mar 31, 2020

Page range: 283 - 292

Received: Jun 24, 2019

Accepted: Aug 20, 2019

DOI: https://doi.org/10.2478/amns.2020.1.00026

KeywordsLorentz Kenmotsu manifold, projective curvature tensor, ℒ-sectional curvature, semi invariant submanifold

© 2020 Ramazan Sari, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Lorentz Kenmotsu manifold, projective curvature tensor, ℒ-sectional curvature, semi invariant submanifold