Totally geodesic submanifolds in products of rank one symmetric spaces (2205.14720v2)

Abstract: 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 geodesic submanifolds in Hermitian symmetric spaces with non-trivial constant K\"ahler angle, i.e. they are neither complex nor totally real.