Totally geodesic submanifolds in products of rank one symmetric spaces
arXiv:2205.14720 · doi:10.2422/2036-2145.202301_012 10.2422/2036-2145.202301_012 10.2422/2036-2145.202301_012 10.2422/2036-2145.202301_012 10.2422/2036-2145.202301_012
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 Kähler angle, i.e. they are neither complex nor totally real.
22 pages. To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci