On the asymptotic behavior of expanding gradient Ricci solitons

DOI10.1007/s10455-012-9311-7zbMath1263.53061OpenAlexW2024135928WikidataQ125976848 ScholiaQ125976848MaRDI QIDQ1759652

Chih-Wei Chen

Publication date: 21 November 2012

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-012-9311-7

zbMATH Keywords

Ricci flowcurvature decayExpanding solutions

Mathematics Subject Classification ID

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

Related Items

A gap theorem on complete shrinking gradient Ricci solitons ⋮ Volume growth estimates of gradient Ricci solitons

Cites Work

• The evolution of the Weyl tensor under the Ricci flow
• On a sharp volume estimate for gradient Ricci solitons with scalar curvature bounded below
• On the classification of gradient Ricci solitons
• On complete gradient shrinking Ricci solitons
• Spacetime energy decreases under world-sheet RG flow
• The Harnack estimate for the Ricci flow
• Ancient solutions to Kähler-Ricci flow
• Strong uniqueness of the Ricci flow
• Sharp logarithmic Sobolev inequalities on gradient solitons and applications
• On a classification of gradient shrinking solitons
• Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
• Limits of solutions to the Kähler-Ricci flow
• Complete Riemannian manifolds with pointwise pinched curvature
• On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
• Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
• Lower bounds on Ricci curvature and the almost rigidity of warped products
• Gradient shrinking solitons with vanishing Weyl tensor
• A necessary and sufficient condition for Ricci shrinkers to have positive AVR
• Noncompact shrinking four solitons with nonnegative curvature
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• On the completeness of gradient Ricci solitons
• Complete shrinking Ricci solitons have finite fundamental group
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item