This second edition explores recent progress in the submanifold geometry of space forms,
including new methods based on the holonomy of the normal connection. It contains five …

Hermitian symmetric spaces are an important class of manifolds that can be studied with
methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian …

We classify maximal totally geodesic submanifolds in exceptional symmetric spaces up to
isometry. Moreover, we introduce an invariant for certain totally geodesic embeddings of …

We classify totally geodesic submanifolds of the real Stiefel manifolds of orthogonal two-
frames. We also classify polar actions on these Stiefel manifolds, specifically, we prove that …

Real hypersurfaces with isometric Reeb flow in Kähler manifolds Page 1 Communications in
Contemporary Mathematics Vol. 23, No. 1 (2021) 1950039 (33 pages) c© World Scientific …

Recently, Jablonski proved that, to a large extent, a simply connected solvable Lie group
endowed with a left-invariant Ricci soliton metric can be isometrically embedded into the …

In this article we classify totally geodesic submanifolds in arbitrary products of rank one
symmetric spaces. Furthermore, we give infinitely many examples of irreducible totally …

We study the barycentric straightening of simplices in higher rank irreducible symmetric
spaces of non-compact type. We show that, for an n-dimensional symmetric space of rank …

We classify totally geodesic submanifolds in Hopf-Berger spheres, which constitute a special
family of homogeneous spaces diffeomorphic to spheres constructed via Hopf fibrations. As …

In this article we classify totally geodesic submanifolds of homogeneous nearly K\" ahler 6-
manifolds, and of the G2-cones over these 6-manifolds. To this end, we develop new …