Archivio Istituzionale della RicercaIn this paper we study the homogeneous Kaehler manifolds (h.K.m.) which can be Kaehler immersed into finite or infinite dimensional complex space forms. On the one hand we completely classify the h.K.m. which can be Kaehler immersed into a finite or infinite dimensional complex Euclidean or hyperbolic space. On the other hand, we extend known results about Kaehler immersions into the finite dimensional complex projective space to the infinite dimensional setting.
Kahler immersions of homogeneous Kahler manifolds into complex space forms / DI SCALA, ANTONIO JOSE'; Loi, A.; Ishi, H.. - In: THE ASIAN JOURNAL OF MATHEMATICS. - ISSN 1093-6106. - STAMPA. - 16:2(2012), pp. 479-488. [10.4310/AJM.2012.v16.n3.a7]
Kahler immersions of homogeneous Kahler manifolds into complex space forms
DI SCALA, ANTONIO JOSE';
2012
Abstract
In this paper we study the homogeneous Kaehler manifolds (h.K.m.) which can be Kaehler immersed into finite or infinite dimensional complex space forms. On the one hand we completely classify the h.K.m. which can be Kaehler immersed into a finite or infinite dimensional complex Euclidean or hyperbolic space. On the other hand, we extend known results about Kaehler immersions into the finite dimensional complex projective space to the infinite dimensional setting.
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https://hdl.handle.net/11583/2486986
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