Inhomogeneous deformations of Einstein solvmanifolds

DOI10.1112/JLMS.12904arXiv2305.05923OpenAlexW4396509346MaRDI QIDQ6436040

Author name not available (Why is that?)

Publication date: 10 May 2023

Abstract: For each non-flat, unimodular Ricci soliton solvmanifold $(mathsf{S}_0,g_0)$, we construct a one-parameter family of complete, expanding, gradient Ricci solitons that admit a cohomogeneity one isometric action by $mathsf{S}_0$. The orbits of this action are hypersurfaces homothetic to $(mathsf{S}_0,g_0)$. These metrics are asymptotic at one end to an Einstein solvmanifold. In the one-parameter family, exactly one metric is Einstein, and exactly one has orbits that are isometric to $(mathsf{S}_0,g_0)$.

Full work available at URL: https://doi.org/10.1112/jlms.12904

Mathematics Subject Classification ID

No records found.

This page was built for publication: Inhomogeneous deformations of Einstein solvmanifolds

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6436040)