New expanding Ricci solitons starting in dimension four

Abstract

We prove that there exists a gradient expanding Ricci soliton asymptotic to any given cone over the product of a round sphere and a Ricci flat manifold. In particular we obtain asymptotically conical expanding Ricci solitons with positive scalar curvature on ${\mathbb{R}}^3\times S^1.$ More generally we construct continuous families of gradient expanding Ricci solitons on trivial vector bundles over products of Einstein manifolds with arbitrary Einstein constants.

15 pages

References in corpus (1)

• Ricci Solitons, Conical Singularities, and Nonuniqueness

Cited by in corpus (1)

• Cohomogeneity two Ricci solitons with sub-Euclidean volume