Rigidity of τ-quasi Ricci-harmonic metrics

Fanqi Zeng ()
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Fanqi Zeng: Xinyang Normal University

Indian Journal of Pure and Applied Mathematics, 2018, vol. 49, issue 3, 431-449

Abstract: Abstract We study τ-quasi Ricci-harmonic metrics. First, we shall derive some formulae which will give some integral formulae for such a class of compact manifolds that permit to obtain some rigidity results. Second, and particularly, if a τ-quasi Ricci-harmonic metric possesses constant generalized scalar curvature then we determine the generalized scalar curvature in explicit form. These results are generalizations of ones found in [1–3, 5, 10].

Keywords: Gradient Ricci-harmonic soliton metric; quasi Ricci-harmonic metric; harmonic Einstein metric; rigid property; scalar curvature (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s13226-018-0278-3

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