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Volume growth for gradient shrinking solitons of Ricci-harmonic flow
Affiliation:YANG Fei 1,2 & SHEN JingFang 3,1 Center of Mathematical Sciences,Zhejiang University,Hangzhou 310027,China;2 School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China;3 College of Science,Huazhong Agricultural University,Wuhan 430070,China
Abstract:
In this paper,we derive an estimate on the potential functions of complete noncompact gradient shrinking solitons of Ricci-harmonic flow,and show that complete noncompact gradient shrinking Ricci-harmonic solitons have Euclidean volume growth at most.
Keywords:Ricci-harmonic flow  gradient soliton  volume growth
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