Rigidity of gradient almost Ricci solitons

zbMath1290.53053MaRDI QIDQ2452321

Yanyan Li

Publication date: 2 June 2014

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1399395831

zbMATH Keywords

first eigenfunction of the Laplaciancompact locally conformally flat almost Ricci solitongradient almost Ricci soliton

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (14)

Basic structural equations for almost Ricci-harmonic solitons and applications ⋮ Sequential Warped Products and Their Applications ⋮ On conformal solutions of the Yamabe flow ⋮ Rigidity of compact almost Ricci solitons and applications of Pohozaev-Schoen identity ⋮ Homogeneous Ricci almost solitons ⋮ Invariant solutions for gradient Ricci almost solitons ⋮ Ricci almost solitons on semi‐Riemannian warped products ⋮ Pseudo-projective tensor on sequential warped products ⋮ Gradient Ricci solitons on Kropina measure spaces ⋮ Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2) ⋮ Isometries on almost Ricci-Yamabe solitons ⋮ Hitchin-thorpe inequality and Kaehler metrics for compact almost Ricci soliton ⋮ Unnamed Item ⋮ Gap theorems for compact almost Ricci-harmonic solitons

Cites Work

• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• Einstein spaces admitting a one-parameter group of conformal transformations
• Compact gradient shrinking Ricci solitons with positive curvature operator
• Some characterizations for compact almost Ricci solitons

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