Inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
J. Carlos Diaz-Ramos, Miguel Dominguez-Vazquez
TL;DR
This paper constructs examples of inhomogeneous isoparametric real hypersurfaces within complex hyperbolic spaces, expanding the understanding of geometric structures in these spaces.
Contribution
It provides the first known examples of inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces, which were previously unknown.
Findings
Existence of inhomogeneous isoparametric hypersurfaces in complex hyperbolic spaces
Explicit constructions of such hypersurfaces
Advancement in the classification of hypersurfaces in complex hyperbolic geometry
Abstract
We construct examples of inhomogeneous isoparametric real hypersurfaces in complex hyperbolic spaces.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology