Real hypersurfaces in complex and quaternionic hyperbolic spaces

TL;DR

This paper studies special types of hypersurfaces in complex and quaternionic hyperbolic spaces, classifying certain curvature-adapted and pseudo-Einstein hypersurfaces and exploring their properties.

Contribution

It introduces curvature-adapted foliations in complex hyperbolic space and classifies generalized pseudo-Einstein hypersurfaces, extending results to quaternionic hyperbolic space.

Findings

Classification of generalized pseudo-Einstein hypersurfaces

Properties of curvature-adapted foliations in complex hyperbolic space

Analogous classification results for quaternionic hyperbolic space

Abstract

We introduce curvature-adapted foliations of complex hyperbolic space and study some of their properties. Generalized pseudo-Einstein hypersurfaces of complex hyperbolic space are classified. Analogous results for curvature-adapted hypersurfaces of quaternionic hyperbolic space are also obtained.