This survey paper investigates, from a purely geometric point of view, Daniel's isometric
conjugation between minimal and constant mean curvature surfaces immersed in …

In the first part of this paper we shall classify proper triharmonic isoparametric surfaces in 3-
dimensional homogeneous spaces (Bianchi-Cartan-Vranceanu spaces, shortly BCV …

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In this paper, we study hypersurfaces of ℍ2× ℍ2. We first classify the hypersurfaces with
constant principal curvatures and constant product angle functions. Then we classify …

We show that the evolution of isoparametric hypersurfaces of Riemannian manifolds by the
mean curvature flow is given by a reparametrization of the parallel family in short time, as …

In this paper, we study hypersurfaces in $\mathbb {H}^ 2\times\mathbb {H}^ 2$. We first
classify the hypersurfaces with constant principal curvatures and constant product angle …

We give a complete classification of isoparametric hypersurfaces in a product space M κ 1
2× M κ 2 2 of 2-dimensional space forms for κ i∈{− 1, 0, 1} with κ 1≠ κ 2. In fact we prove …

We classify the isoparametric hypersurfaces and the homogeneous hypersurfaces of
$\mathbb H^ n\times\mathbb R $ and $\mathbb S^ n\times\mathbb R $, $ n\ge 2$, by …

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 …

A hypersurface of a Riemannian manifold is called homogeneous if it is an orbit of an
isometric action on the ambient manifold. Homogeneous hypersurfaces have remarkable …