Classification of cohomogeneity-one actions on symmetric spaces of noncompact type
We complete the classification of isometric cohomogeneity-one actions on all symmetric spaces of noncompact type up to orbit equivalence.
math.DG↗
arXiv subjects
Víctor Sanmartín-López
Publications and source records attributed to Víctor Sanmartín-López.
Ricci solitons as submanifolds of complex hyperbolic spaces
Any homogeneous expanding Ricci soliton is known to be isometric to a Lie subgroup of the solvable part of the Iwasawa decomposition associated with a symmetric space of non-compact type, with the metric induced as a submanifold. In this paper, we classify and analyze the geometry of such Lie subgroups with Ricci soliton induced metric when the symmetric spaces are complex hyperbolic spaces.
math.DG↗