Some characterizations of Bach solitons via Ricci curvature

Supposing that the Ricci curvature has an appropriate lower bound and applying suitable maximum principles, we establish triviality results which guarantee that a gradient Bach soliton must be trivial and Bach-flat. Our approach is based on three main cores: convergence to zero at infinity, polynomial volume growth (both related to complete noncompact Riemannian manifolds) and stochastic completeness.

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Some characterizations of Bach solitons via Ricci curvature

Cited by 2 publications

References 10 publications

On non-compact gradient solitons

On non-compact gradient solitons

Revisiting Gradient Bach Solitons via Maximum Principles

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