Non-Kähler Expanding Ricci Solitons II

Abstract

We produce new non-Kähler, non-Einstein, complete expanding gradient Ricci solitons with conical asymptotics and underlying manifold of the form ${\mathbb{R}}^2\times M_2\times \cdots \times M_r$, where $r\ge 2$ and $M_i$ are arbitrary closed Einstein spaces with positive scalar curvature. We also find numerical evidence for complete expanding solitons on the vector bundles whose sphere bundles are the twistor or $\mathrm{Sp}(1)$ bundles over quaternionic projective space.

20 pages, 5 figures

References in corpus (1)

• Sharp logarithmic Sobolev inequalities on gradient solitons and applications

Cited by in corpus (5)

• Cohomogeneity one Ricci Solitons from Hopf Fibrations
• Complete Ricci solitons via estimates on the soliton potential
• Curvature estimates for four-dimensional complete gradient expanding Ricci solitons
• New expanding Ricci solitons starting in dimension four
• Invariant Ricci-flat Metrics of Cohomogeneity One with Wallach Spaces as Principal Orbits