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Homogeneous Structures on Real and Complex Hyperbolic Spaces

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http://0-projecteuclid.org.cisne.sim.ucm.es/DPubS/Repository/1.0/Disseminate?handle=euclid.ijm/1266934792&view=body&content-type=pdfview_1

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2009

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University of Illinois
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https://hdl.handle.net/20.500.14352/50704

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Abstract

The connected groups acting by isometries on either the real or the complex hyperbolic spaces are determined. A Lie-theoretic description of the homogeneous Riemannian, respectively Kähler, structures of linear type on these spaces is then found. On both spaces, examples that are not of linear type are given.

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Geometría diferencial

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1204.04 Geometría Diferencial

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