Torus actions on compact quotients

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We consider the action of a noncompact torus H on the compact quotient G/L, where G is a Lie group containing H and L is a uniform lattice in G. Using harmonic analysis on G we prove a formula relating the compact orbits of H to the action of H on the (infinite dimensional) tangential cohomology. The formula may be viewed as a Lefschetz formula or an equivariant index theorem for noncompact group actions.
LATEX, 12 pages, Journal of Lie Theory (1996)

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Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/147619

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/dg-ga/9604008
 http://arxiv.org/abs/dg-ga/9604008

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arXiv