Abstract

The non totally geodesic parallel Kahler submanifolds (M 2n ,J1) of the quaternionic space HP n were classified by K. Tsukada, (Tsu2). Here we give the complete classification of non totally geodesic immersions of parallel Kahler submanifolds (M 2m ,J1) in a quaternionic Kahler symmetric space ( f M 4n ,e) of non zero scalar curvature, i.e. in a Wolf space W or in its non compact dual. They are exhausted by parallel Kahler submanifolds of a totally geodesic submanifold M which is either an Hermitian symmetric space or a quaternionic projective space.

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