Some Chen Inequalities for Submanifolds in Trans-Sasakian Manifolds Admitting a Semi-Symmetric Non-Metric Connection-Reference-Cited by-同舟云学术

Some Chen Inequalities for Submanifolds in Trans-Sasakian Manifolds Admitting a Semi-Symmetric Non-Metric Connection

Published:2024-03-15 Issue:3 Volume:13 Page:195
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Mohammed Mohammed¹²,Massamba Fortuné¹^ORCID,Mihai Ion³^ORCID,Elamin Abd Elmotaleb A. M. A.⁴,Aldien M. Saif⁵

Affiliation:

1. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X01, Scottsville 3209, South Africa

2. Department of Mathematics, Faculty of Mathematical Sciences and Statistics, AL-Neelain University, Khartoum 11121, Sudan

3. Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania

4. Department of Mathematic, College of Science and Humanity, Prince Sattam Bin Abdulaziz University, Al-Sulail 11942, Saudi Arabia

5. Department of Mathematics, Turabah University College, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Abstract

In the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-symmetric non-metric connection. Moreover, a generalized Euler inequality for special contact slant submanifolds in trans-Sasakian manifolds endowed with a semi-symmetric non-metric connection is obtained.

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/3/195/pdf

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