On Riemannian warped-twisted product submersions-Reference-Cited by-同舟云学术

On Riemannian warped-twisted product submersions

Published:2024 Issue:2 Volume:9 Page:2925-2937
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Agarwal Richa¹,Mofarreh Fatemah²,Yadav Sarvesh Kumar³,Ali Shahid¹,Haseeb Abdul⁴

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Aligarh Muslim University, Aligarh-202002, India

2. Mathematical Science Department, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, Riyadh-11546, Kingdom of Saudi Arabia

3. Department of Mathematics, Faculty of Sciences, Jamia Millia Islamia, New Delhi-110025, India

4. Department of Mathematics, College of Science, Jazan University, Jazan-45142, Kingdom of Saudi Arabia

Abstract

<abstract><p>In this paper, we introduce the concepts of Riemannian warped-twisted product submersions and examine their fundamental properties, including total geodesicity, total umbilicity and minimality. Additionally, we investigate the Ricci tensor of Riemannian warped-twisted product submersions, specifically about the horizontal and vertical distributions. Finally, we obtain Einstein condition for base manifold if the horizontal and vertical distributions of the ambient manifold is Einstein.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Reference26 articles.

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3. I. K. Erken, C. Murathan, Riemannian warped product submersions, Results Math., 76 (2021), 1. https://doi.org/10.1007/s00025-020-01310-4

4. J. Nash, The imbedding problem for Riemannian manifolds, Ann. Math., 63 (1956), 20–63. https://doi.org/10.2307/1969989

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