Characterizing the complex hyperbolic space by Kähler homogeneous structures

DOI10.1017/S0305004199003825zbMath0982.53066OpenAlexW2008524908MaRDI QIDQ4951054

Jaime Muñoz Masqué, Pedro Martínez Gadea, Angel Montesinos Amilibia

Publication date: 8 April 2002

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004199003825

zbMATH Keywords

homogeneous structuresBergman metriccomplex hyperbolic spacesKähler homogeneous structuresnegative constant holomorphic sectional curvature

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45) Homogeneous complex manifolds (32M10)

Related Items (9)

The homogeneous holonomies of complex hyperbolic space ⋮ Strongly degenerate homogeneous pseudo-Kähler structures of linear type and complex plane waves ⋮ Homogeneous pseudo-Riemannian structures of linear type ⋮ Homogeneous quaternionic Kähler structures of linear type. ⋮ Non-degenerate homogeneous \(\epsilon\)-Kähler and \(\epsilon\)-quaternion Kähler structures of linear type ⋮ On the classification theorems of almost-Hermitian or homogeneous Kähler structures ⋮ Reduction of Homogeneous Riemannian Structures ⋮ Homogeneous structures on real and complex hyperbolic spaces ⋮ Degenerate homogeneous structures of type \({\mathcal S}_1\) on pseudo-Riemannian manifolds

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