25 citations · 27 across the 5 of their papers we have counts for
6 papers
Codimension one Ricci soliton subgroups of nilpotent Iwasawa groups
Victor Sanmartin-Lopez
Any expanding homogeneous Ricci soliton (in particular any homogeneous Einstein manifold of negative scalar curvature) can be obtained, up to isometry, from a Lie subgroup of a nil…
Isoparametric hypersurfaces in symmetric spaces of non-compact type and higher rank
Miguel Dominguez-Vazquez, Victor Sanmartin-Lopez
We construct inhomogeneous isoparametric families of hypersurfaces with non-austere focal set on each symmetric space of non-compact type and rank greater than or equal to 3. If th…
Codimension one Ricci soliton subgroups of solvable Iwasawa groups
Miguel Dominguez-Vazquez, Victor Sanmartin-Lopez, Hiroshi Tamaru
Recently, Jablonski proved that, to a large extent, a simply connected solvable Lie group endowed with a left-invariant Ricci soliton metric can be isometrically embedded into the…
Submanifold geometry in symmetric spaces of noncompact type
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Victor Sanmartin-Lopez
In this survey article we provide an introduction to submanifold geometry in symmetric spaces of noncompact type. We focus on the construction of examples and the classification pr…
Submanifolds with constant principal curvatures in symmetric spaces
Jurgen Berndt, Victor Sanmartin-Lopez
We study submanifolds whose principal curvatures, counted with multiplicities, do not depend on the normal direction. Such submanifolds, which we briefly call CPC submanifolds, are…
Isoparametric hypersurfaces in complex hyperbolic spaces
Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Victor Sanmartin-Lopez
We classify isoparametric hypersurfaces in complex hyperbolic spaces.