Abstract
The non totally geodesic parallel $2n$-dimensional Kähler submanifolds of the $n$-dimensional quaternionic projective space were classified by K. Tsukada. Here we give the complete classification of non totally geodesic immersions of parallel $2m$-dimensional Kähler submanifolds in a quaternionic Kähler symmetric space of non zero scalar curvature, i.e., in a Wolf space or in its non compact dual. They are exhausted by parallel Kähler submanifolds of a totally geodesic submanifold which is either an Hermitian symmetric space or a quaternionic projective space.
Citation
Dmitri V. Alekseevsky. Antonio J. Di Scala. Stefano Marchiafava. "Parallel Kähler submanifolds of quaternionic Kähler symmetric spaces." Tohoku Math. J. (2) 57 (4) 521 - 540, December 2005. https://doi.org/10.2748/tmj/1140727071
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