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Hermitian and Kahler submanifolds of a quaternionic Kahler manifold

We study almost Hermitian submanifolds of a quaternionic Kähler manifold (M4n, Q, g). We investigate when such submanifold is Hermitian, almost Kähler and Kähler. Some characterizations of Kähler submanifolds are given. In the second part of the paper we classify Kähler manifolds which can be realized as Kähler submanifolds of a quaternionic Kähler manifold with parallel non zero second fundamental form. These manifolds can be characterized as (locally) Hermitian symmetric spaces which admit a parallel line bundle of cubic forms and coincide with Tsukada manifolds which can be realized as Kähler submanifolds of the quaternionic projective space with parallel non zero second fundamental form.