TY - JOUR
T1 - On the $h$-Almost Yamabe Soliton
AU - Zeng , Fanqi
JO - Journal of Mathematical Study
VL - 4
SP - 371
EP - 386
PY - 2021
DA - 2021/06
SN - 54
DO - http://doi.org/10.4208/jms.v54n4.21.03
UR - https://global-sci.org/intro/article_detail/jms/19289.html
KW - Yamabe flow, $h$-almost Yamabe soliton, scalar curvature.
AB - <p style="text-align: justify;">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.</p>