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 …

Let $ M $ be an irreducible Riemannian symmetric space. The index $ i (M) $ of $ M $ is the
minimal codimension of a totally geodesic submanifold of $ M $. In [1] we proved that $ i (M) …

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 …

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 give a full classification of Einstein hypersurfaces in irreducible Riemannian symmetric
spaces of rank greater than 1 (the classification in the rank-one case was previously known) …

We introduce a new technique to the study and identification of submanifolds of simply-
connected symmetric spaces of compact type based upon an approach computing $ k …

This paper contains two results on Hodge loci in Mg. The first concerns fibrations over
curves with a non-trivial flat part in the Fujita decomposition. If local Torelli theorem holds for …

We prove that on a smooth complex surface which is a compact quotient of the bidisc or of
the 2-ball, there is at most a finite number of totally geodesic curves with negative self …