Title: On compact splitting complex submanifolds of quotients of bounded symmetric domains,
Abstract: In the current article our primary objects of study are compact complex
submanifolds of quotient manifolds of irreducible bounded symmetric domains by
torsion free discrete lattices of automorphisms. We are interested in the
characterization of the totally geodesic submanifolds among compact splitting
complex submanifolds, i.e. under the assumption that the tangent sequence
splits holomorphically over the submanifold.