English

Real hypersurfaces in complex and quaternionic hyperbolic spaces

Differential Geometry 2012-07-10 v4

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.

Keywords

Cite

@article{arxiv.1011.6582,
  title  = {Real hypersurfaces in complex and quaternionic hyperbolic spaces},
  author = {Thomas Murphy},
  journal= {arXiv preprint arXiv:1011.6582},
  year   = {2012}
}

Comments

v4: Minor changes, as suggested by the referee. To appear in Advances in Geometry

R2 v1 2026-06-21T16:51:08.701Z