On non-compact gradient solitons

Cunha, Antonio W.; Griffin, Erin

doi:10.1007/s10455-023-09904-1

Ann Glob Anal Geom

2023

DOI: 10.1007/s10455-023-09904-1

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On non-compact gradient solitons

Antonio W. Cunha

Erin Griffin

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2024

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Revisiting Gradient Bach Solitons via Maximum Principles

Cunha,

De Lima,

De Lima

2024

International Electronic Journal of Geometry

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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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Revisiting Gradient Bach Solitons via Maximum Principles

Cunha,

De Lima,

De Lima

2024

International Electronic Journal of Geometry

Self Cite

View full text Add to dashboard Cite

show abstract

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On non-compact gradient solitons

Cited by 1 publication

References 32 publications

Revisiting Gradient Bach Solitons via Maximum Principles

Revisiting Gradient Bach Solitons via Maximum Principles

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