On Sequential Warped Products Whose Manifold Admits Gradient Schouten Harmonic Solitons

Author:

Yan Lixu1ORCID,Li Yanlin2ORCID,Mofarreh Fatemah3ORCID,Ali Akram4ORCID,Laurian-Ioan Pişcoran5

Affiliation:

1. Department of Mathematics, Northeast Forestry University, Harbin 150040, China

2. School of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

3. Mathematical Science Department, Faculty of Science, Princess Nourah bint Abdulrahman University, Riyadh 11546, Saudi Arabia

4. Department of Mathematics, College of Science, King Khalid University, Abha 9004, Saudi Arabia

5. North University Center of Baia Mare, Department of Mathematics and Computer Science, Technical University of Cluj Napoca, Victoriei 76, 430122 Baia Mare, Romania

Abstract

As part of our study, we investigate gradient Schouten harmonic solutions to sequential warped product manifolds. The main contribution of our work is an explanation of how it is possible to express gradient Schouten harmonic solitons on sequential warped product manifolds. Our analysis covers both sequential generalized Robertson–Walker spacetimes and sequential static spacetimes using gradient Schouten harmonic solitons. Studies conducted previously can be generalized from this study.

Funder

King Khalid University

Fundamental Research Funds for the Central Universities

Princess Nourah bint Abdulrahman University

Publisher

MDPI AG

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