Kaehler immersions of homogeneous Kaehler manifolds into complex space forms

Details Kaehler immersions of homogeneous Kaehler manifolds into complex space forms Kaehler immersions of homogeneous Kaehler manifolds into complex space forms

2010-09-21

arxiv.org/abs/1009.4045v1

Mathematics

Differential Geometry

11 pages

Scientific paper

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 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. Moreover, we extend known results about Kaehler immersions into the finite dimensional complex projective space to the infinite dimensional setting.

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