Complete Ricci solitons via estimates on the soliton potential

Abstract

In this paper a growth estimate on the soliton potential is shown for a large class of cohomogeneity one manifolds. This is used to construct continuous families of complete steady and expanding Ricci solitons in the set-ups of Lü-Page-Pope and Dancer-Wang. It also provides a different approach to the two summands system which applies to all known geometric examples.

22 pages

References in corpus (2)

• K-Stability for Fano Manifolds with Torus Action of Complexity One
• On the classification of Kahler-Ricci solitons on Gorenstein del Pezzo surfaces

Cited by in corpus (3)

• Curvature estimates for four-dimensional complete gradient expanding Ricci solitons
• New expanding Ricci solitons starting in dimension four
• Four-dimensional gradient Ricci solitons with (half) nonnegative isotropic curvature