On compact Ricci solitons in Finsler geometry

DOI10.1016/j.crma.2015.09.012zbMath1335.53102arXiv1508.02148OpenAlexW2963272709WikidataQ125999268 ScholiaQ125999268MaRDI QIDQ5965057

Behroz Bidabad, Mohamad Yar Ahmadi

Publication date: 2 March 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.02148

zbMATH Keywords

de Rham cohomologycompact Finsler manifoldsquasi-Einstein metricshrinking Finslerian Ricci soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items

Convergence of Finslerian metrics under Ricci flow, Unnamed Item, Complete Ricci-Bourguignon solitons on Finsler manifolds, Finite topological type of complete Finsler gradient shrinking Ricci solitons, On complete Yamabe solitons, On rigidity and scalar curvature of Einstein-type manifolds, Complete Ricci solitons on Finsler manifolds, On complete Finslerian Yamabe solitons, Unnamed Item, On generalized quasi-Einstein manifolds

Cites Work

• On quasi-Einstein Finsler spaces
• Convergence of Finslerian metrics under Ricci flow
• Conformal vector fields on complete Finsler spaces of constant Ricci curvature
• Some geometric properties of the Bakry-Émery-Ricci tensor
• Three-manifolds with positive Ricci curvature
• A remark on compact Ricci solitons
• Complete shrinking Ricci solitons have finite fundamental group
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