Homogeneous Ricci soliton hypersurfaces in the complex hyperbolic spaces

2013/05/27 by Takahiro Hashinaga, Hashinaga, Takahiro, Akira Kubo +3
Mathematics · Physics and Astronomy · #53C25 #53C35 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Primary 53C40 #Secondary 53C30

paper · pdf · doi:10.48550/arxiv.1305.6128

openalex publication_date 2013/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Lie hypersurface in the complex hyperbolic space is an orbit of a cohomogeneity one action without singular orbit. In this paper, we classify Ricci soliton Lie hypersurfaces in the complex hyperbolic spaces.

Citations

• On Ruled Real Hypersurfaces in Complex Space Forms

Related

• Ricci solitons as submanifolds of complex hyperbolic spaces
• On Ricci solitons of cohomogeneity one
• Curvature properties of Lie hypersurfaces in the complex hyperbolic space
• Homogeneous Ricci solitons
• Ricci soliton solvmanifolds