On Curvatures of Semi-invariant Submanifolds of Lorentzian Para-Sasakian Manifolds-Reference-Cited by-同舟云学术

On Curvatures of Semi-invariant Submanifolds of Lorentzian Para-Sasakian Manifolds

Published:2023-12-31 Issue:2 Volume:15 Page:464-469
ISSN:2148-1830
Container-title:Turkish Journal of Mathematics and Computer Science
language:
Short-container-title:

Author:

SARI Ramazan¹^ORCID,ÜNAL İnan²^ORCID

Affiliation:

1. AMASYA UNIVERSITY

2. MUNZUR UNIVERSITY

Abstract

A Lorentzian para-Sasakian (LP-Sasakian) space form is a kind of para-Sasakian manifold with constant $ \varphi- $ holomorphic sectional curvature. The presented paper is on the curvatures of semi-invariant submanifolds of a LP-Sasakian space form. Firstly, the definition of a semi-invariant submanifold of LP-Sasakian space form is given and an example is presented. Then, using Gauss equation related to curvatures used for obtaining some important results on Ricci and scalar curvatures. Moreover, by suffering from these results conditions of distributions being Einstein have been examined. Finally, semi-invariant products of Lorentzian para-Sasakian manifolds have been considered and an important inequality for second fundamental form is proved.

Publisher

Turkish Journal of Mathematics and Computer Science, Association of Mathematicians

Subject

General Medicine

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