Rotational Symmetry of Conical Kähler-Ricci Solitons

Abstract

We show that expanding Kähler-Ricci solitons which have positive holomorphic bisectional curvature and are asymptotic to Kähler cones at infinity must be the U(n)-rotationally symmetric expanding solitons constructed by Cao.

13 pages; some assumptions removed

References in corpus (3)

• Rotational symmetry of self-similar solutions to the Ricci flow
• Two-dimensional gradient Ricci solitons revisited
• Expanding Ricci Solitons Asymptotic to Cones

Cited by in corpus (7)

• Uniqueness of the bowl soliton
• Rigidity of asymptotically conical shrinking gradient Ricci solitons
• Curvature estimates for four-dimensional complete gradient expanding Ricci solitons
• Asymptotic behavior of positively curved steady Ricci Solitons, II
• Ricci solitons and certain related metrics on 3-dimensional trans-Sasakian manifold
• Ricci flow on quasiprojective manifolds II
• Kähler Soliton Surfaces Are Generically Toric