Kähler immersions of homogeneous Kähler manifolds into complex space forms
Copyright policy )Kähler immersions of homogeneous Kähler manifolds into complex space forms
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.
11 pages
- University of Cagliari Italy
- Polytechnic University of Turin Italy
- Nagoya University Japan
Mathematics - Differential Geometry, 53D05, 53C55, 58F06, infinite dimensional complex space forms, Kähler metrics, Wallach set, Mathematics - Complex Variables, 53C55, Kahler maps; quantization; complex space forms; homogeneous manifolds, 53D05, 58F06, Differential Geometry (math.DG), homogeneous space, FOS: Mathematics, Complex Variables (math.CV)
Mathematics - Differential Geometry, 53D05, 53C55, 58F06, infinite dimensional complex space forms, Kähler metrics, Wallach set, Mathematics - Complex Variables, 53C55, Kahler maps; quantization; complex space forms; homogeneous manifolds, 53D05, 58F06, Differential Geometry (math.DG), homogeneous space, FOS: Mathematics, Complex Variables (math.CV)
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