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.

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.
File in questo prodotto:
File Dimensione Formato  
N47Porto.pdf

accesso aperto

Tipologia: 2. Post-print / Author's Accepted Manuscript
Licenza: Pubblico - Tutti i diritti riservati
Dimensione 3.74 MB
Formato Adobe PDF
3.74 MB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2486986
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo