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EnglishAbstract. 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.
http://hdl.handle.net/11573/8538| Titolo: | Parallel Kaehler submanifolds of quaternionic Kaehler symmetric spaces |
| Autori interni: | MARCHIAFAVA, Stefano |
| Data di pubblicazione: | 2005 |
| Rivista: | TOHOKU MATHEMATICAL JOURNAL |
| 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. |
| Handle: | http://hdl.handle.net/11573/8538 |
| Appare nelle tipologie: | 01.a Pubblicazione su Rivista |
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