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.

Parallel Kaehler submanifolds of quaternionic Kaehler symmetric spaces / ALEKSEEVSKY D., V; DI SCALA A., J; Marchiafava, Stefano. - In: TOHOKU MATHEMATICAL JOURNAL. - ISSN 0040-8735. - STAMPA. - 57:(2005), pp. 521-540. [10.2748/tmj/1140727071]

Parallel Kaehler submanifolds of quaternionic Kaehler symmetric spaces

MARCHIAFAVA, Stefano
2005

Abstract

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.
2005
Quaternionic Kähler manifolds; Kähler submanifolds
01 Pubblicazione su rivista::01a Articolo in rivista
Parallel Kaehler submanifolds of quaternionic Kaehler symmetric spaces / ALEKSEEVSKY D., V; DI SCALA A., J; Marchiafava, Stefano. - In: TOHOKU MATHEMATICAL JOURNAL. - ISSN 0040-8735. - STAMPA. - 57:(2005), pp. 521-540. [10.2748/tmj/1140727071]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/8538
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