Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds-Reference-Cited by-同舟云学术

Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds

Published:2022-06-30 Issue: Volume:2022 Page:1-6
ISSN:2314-4785
Container-title:Journal of Mathematics
language:en
Short-container-title:Journal of Mathematics

Author:

Kim Byung Hak¹,Choi Jin Hyuk²^ORCID,Lee Sang Deok³,Han Chang Yong¹^ORCID

Affiliation:

1. Department of Applied Mathematics and Institute of Natural Sciences, Kyung Hee University, Yongin 17104, Republic of Korea

2. Humanitas College, Kyung Hee University, Yongin 17104, Republic of Korea

3. Department of Mathematics, Dankook University, Cheonan 31116, Republic of Korea

Abstract

In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons. We also study the construction of the model space of gradient Ricci–Yamabe solitons in the Riemannian product manifolds and the warped product manifolds. Finally, we study the geometric characterization of the conformally flat twisted product manifolds with gradient Ricci–Yamabe solitons.

Funder

National Research Foundation of Korea

Publisher

Hindawi Limited

Subject

General Mathematics

Link

http://downloads.hindawi.com/journals/jmath/2022/5429070.pdf

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