Year: 2021
Author: Fanqi Zeng
Journal of Mathematical Study, Vol. 54 (2021), Iss. 4 : pp. 371–386
Abstract
We introduce the concept $h$-almost Yamabe soliton which extends naturally the almost Yamabe soliton by Barbosa-Ribeiro and obtain some rigidity results concerning $h$-almost Yamabe solitons. Some condition for a compact $h$-almost Yamabe soliton to be a gradient soliton is also obtained. Finally, we give some characterizations for a special class of gradient $h$-almost Yamabe solitons.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v54n4.21.03
Journal of Mathematical Study, Vol. 54 (2021), Iss. 4 : pp. 371–386
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 16
Keywords: Yamabe flow $h$-almost Yamabe soliton scalar curvature.