ON GRADIENT RICCI SOLITONS AND YAMABE SOLITONS

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Published: May 15, 2020
DOI: https://doi.org/10.14403/jcms.2020.33.2.219
Keywords:
gradient Ricci soliton, warped product space, Yamabe The second author was suppoted by the National Research Foundation of Korea soliton
Mathematics Subject Classification (2020):
Primary 53C25, Secondary 53B21

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Jin Hyuk Choi
Humanitas College, Kyung Hee University
Byung Hak Kim
Department of Applied Mathematics and Institute of Natural Science, Kyung Hee University
Sang Deok Lee
Department of Mathematics, Dankook University

Abstract





In this paper, we consider gradient Ricci solitons and gradient Yamabe solitons in the warped product spaces. Also we study warped product space with harmonic curvature related to gradient Ricci solitons and gradient Yamabe solitons. Consequently some theorems are generalized and we derive differential equations for a warped product space to be a gradient Ricci soliton.





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Article Details

Issue
Vol. 33 No. 2 (2020)
Section
Articles