On Ricci-harmonic metrics (Q2790831)
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scientific article; zbMATH DE number 6551799
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Ricci-harmonic metrics |
scientific article; zbMATH DE number 6551799 |
Statements
On Ricci-harmonic metrics (English)
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8 March 2016
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gradient Ricci-harmonic soliton metric
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quasi Ricci-harmonic metric
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harmonic Einstein metric
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scalar curvature
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rigidity
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volume growth
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bottom of the \(L^2_f\)-spectrum
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weak maximum principle at infinity
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potential function
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The paper provides a detailed and systematic study of gradient Ricci-harmonic soliton metrics and quasi Ricci-harmonic metrics.NEWLINENEWLINEAs a consequence, the author proves that expanding or steady gradient Ricci-harmonic soliton metrics on a compact manifold are trivial. Moreover, he provides estimates of several objects for these two metrics on a noncompact manifold.
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