Homogeneous structures on real and complex hyperbolic spaces

M. Castrillón López, P. M. Gadea, A. F. Swann

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Abstract

The connected groups acting by isometries on either the real or the complex hyperbolic spaces are determined. A Lietheoretic 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.

OriginalsprogEngelsk
TidsskriftIllinois Journal of Mathematics
Vol/bind53
Nummer2
Sider (fra-til)561-574
Antal sider14
ISSN0019-2082
StatusUdgivet - 1 dec. 2009
Udgivet eksterntJa

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