Maximum principles and gradient Ricci solitons

DOI10.1016/j.jde.2011.03.020zbMath1217.53042OpenAlexW2027178636MaRDI QIDQ541279

Manuel Fernández-López, Eduardo García-Río

Publication date: 6 June 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.03.020

zbMATH Keywords

Omori-Yau maximum principlegradient Ricci soliton\(f\)-Laplacianstochastically completeness

Mathematics Subject Classification ID

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

Related Items (14)

Heat kernel on smooth metric measure spaces and applications ⋮ SOME GAP THEOREMS FOR GRADIENT RICCI SOLITONS ⋮ Lower bounds for the scalar curvature of noncompact gradient solitons of List's flow ⋮ On the potential function of gradient steady Ricci solitons ⋮ A general form of the weak maximum principle and some applications ⋮ Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications ⋮ On evolution equations under the Hamilton's Ricci flow ⋮ Omori-Yau maximum principles, \(V\)-harmonic maps and their geometric applications ⋮ Rigidity of complete generic shrinking Ricci solitons ⋮ Integral Ricci curvature bounds along geodesics for nonexpanding gradient Ricci solitons ⋮ Analytic and geometric properties of generic Ricci solitons ⋮ Unnamed Item ⋮ A sharp lower bound for the scalar curvature of certain steady gradient Ricci solitons ⋮ SOME GEOMETRIC ANALYSIS ON GENERIC RICCI SOLITONS

Cites Work

• Unnamed Item
• On complete gradient shrinking Ricci solitons
• Remarks on non-compact gradient Ricci solitons
• Strong uniqueness of the Ricci flow
• Comparison geometry for the Bakry-Emery Ricci tensor
• Ricci solitons: The equation point of view
• Generalizations of the uniformization theorem and Bochner's method in \(p\)-harmonic geometry
• Rigidity of gradient Ricci solitons
• Isometric immersions of Riemannian manifolds
• Recent Progress on Ricci Solitons
• Noncompact shrinking four solitons with nonnegative curvature
• On functions which satisfy some differential inequalities on Riemannian manifolds
• Harmonic functions on complete riemannian manifolds
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Geometry of Complete Gradient Shrinking Ricci Solitons
• Maximum principles on Riemannian manifolds and applications

This page was built for publication: Maximum principles and gradient Ricci solitons