On a classification of warped product manifolds with gradient Yamabe solitons

Jin Hyuk Choi; Byung Hak Kim; Sang Deok Lee

doi:10.4134/CKMS.c180534

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2020; 35(1): 261-268

Online first article August 27, 2019 Printed January 31, 2020

https://doi.org/10.4134/CKMS.c180534

On a classification of warped product manifolds with gradient Yamabe solitons

Jin Hyuk Choi, Byung Hak Kim, Sang Deok Lee

Kyung Hee University; Kyung Hee University; Dankook University

Abstract

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Abstract

In this paper, we study gradient Yamabe solitons in the warped product manifolds and classify the warped product manifolds with gradient Yamabe solitons. Moreover we investigate the admitness of gradient Yamabe solitons and geometric structures for some model spaces.

Keywords: Warped product space, gradient Yamabe soliton

MSC numbers: Primary 53C25, 53B21