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On the $h$-Almost Yamabe Soliton |
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| Authors: | Fanqi Zeng |
| 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. |
| Keywords: | Yamabe flow $h$-almost Yamabe soliton scalar curvature |
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