We classify real hypersurfaces in a nonflat complex space form of complex dimension two
which are weakly or strongly Einstein. Specifically, first we prove that a Hopf hypersurface of …

HYPERSURFACES IN P2 AND H2 WITH TWO DISTINCT PRINCIPAL CURVATURES Page
1 Glasgow Math. J. 58 (2016) 137–152. C Glasgow Mathematical Journal Trust 2015. doi:10.1017/S0017089515000105 …

We give a geometric characterization of certain hypersurfaces of cohomogeneity one in the
complex projective and hyperbolic planes. We also obtain some partial classifications of …

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 …

In this paper we classify, up to orbit equivalence, cohomogeneity one actions of connected
closed Lie subgroups of U (1, n) on the (2n+ 1)(2 n+ 1)-dimensional anti de Sitter spacetime …

We show that an isoparametric submanifold of a complex hyperbolic plane, according to the
definition of Heintze, Liu and Olmos', is an open part of a principal orbit of a polar action. We …

Intuitively, symmetry is the property that makes objects look similar when regarded from
different perspectives. This is an important quality from the viewpoint of disciplines such us …

Let M be a three-dimensional real hypersurface in a nonflat complex space form of complex
dimension two. In this paper, we prove that M is η-parallel with two distinct principal …

In this chapter, we give the classification of Hopf hypersurfaces with constant principal
curvatures due to Kimura [354] in CP n (see Theorem 8.13) and Berndt [30] in CH n (see …