A note on the triviality of gradient solitons of the Ricci-Bourguignon flow

DOI10.1007/s00013-022-01803-4OpenAlexW4309896892MaRDI QIDQ2678891

Antonio N. jun. Silva, Antonio W. Cunha, Henrique Fernandes de Lima, Eudes Leite de Lima

Publication date: 25 January 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01803-4

zbMATH Keywords

polynomial volume growthconstant scalar curvaturestochastic completenessRicci-Bourguignon flowconvergence at infinitygradient \(\rho \)-Einstein solitons

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Ricci flows (53E20)

Cites Work

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• A note on conformal Ricci flow
• The Ricci-Bourguignon flow
• Gradient Einstein solitons
• Stochastic calculus in manifolds. With an appendix by P.A. Meyer
• Three-manifolds with positive Ricci curvature
• On the Omori-Yau maximum principle and its applications to differential equations and geometry
• Some characterizations of \(\rho\)-Einstein solitons
• A maximum principle related to volume growth and applications
• Compact gradient \(\rho\)-Einstein soliton is isometric to the Euclidean sphere
• Integral pinched gradient shrinking \(\rho\)-Einstein solitons
• A maximum principle at infinity with applications to geometric vector fields
• Métriques riemanniennes et courbure
• Maximum Principles and Geometric Applications
• Rigidity of gradient Einstein shrinkers
• Stochastic completeness and volume growth
• Recent Progress on Ricci Solitons
• STOCHASTICALLY COMPLETE MANIFOLDS AND SUMMABLE HARMONIC FUNCTIONS
• On Stokes' Theorem for Noncompact Manifolds
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• An introduction to conformal Ricci flow
• Maximum principles on Riemannian manifolds and applications
• A remark on the maximum principle and stochastic completeness
• Some results on $\eta$-Ricci Soliton and gradient $\rho$-Einstein soliton in a complete Riemannian manifold

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