https://neckpinch.com/authors/markus-roser/New arXiv papers by Markus Röser, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT https://neckpinch.com/papers/2501.12225/arxiv:2501.12225Tue, 21 Jan 2025 00:00:00 GMTVicente Cortés, Alejandro Gil-García, Markus Röser — This paper is concerned with the geometry of principal orbits in quaternionic Kähler manifolds M of cohomogeneity one. We focus on the complete cohomogeneity one examples obtained from the non-compact quaternionic Kähler symmetric spaces associated with the simple Lie groups of type A by the one-loop deformation. We prove that for zero deformation parameter the principal orbits form a fibration by solvsolitons (nilsolitons if 4n=dim M=4). The underlying solvable group is non-unimodular if n>1 and is the Heisenberg group if n=1. We show that under the deformation, the hypersurfaces remain solvmanifolds but cease to be Ricci solitons.Ricci solitonsKähler geometryHomogeneous spacesBoundaries & non-compact