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- Title
A note on the triviality of gradient solitons of the Ricci–Bourguignon flow.
- Authors
Cunha, Antonio W.; Silva Junior, Antonio N.; De Lima, Eudes L.; De Lima, Henrique F.
- Abstract
Under appropriate constraints on the sign of the Ricci curvature, we investigate the triviality of gradient solitons of the Ricci–Bourguignon flow. For this, we apply certain maximum principles based on the notions of convergence to zero at infinity, polynomial volume growth (both concerned with complete noncompact Riemannian manifolds), and stochastic completeness. A specific triviality result concerning complete noncompact gradient traceless Ricci solitons with nonnegative sectional curvature is also given.
- Publication
Archiv der Mathematik, 2023, Vol 120, Issue 1, p89
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s00013-022-01803-4