Tohoku Mathematical Journal
2008

September
SECOND SERIES VOL. 60, NO. 3

Tohoku Math. J.
60 (2008), 403-422

Title ON THE TOPOLOGY OF MINIMAL ORBITS IN COMPLEX FLAG MANIFOLDS

Author Andrea Altomani, Costantino Medori and Mauro Nacinovich

(Received October 11, 2007, revised March 7, 2008)
Abstract. We compute the Euler-Poincaré characteristic of the homogeneous compact manifolds that can be described as minimal orbits for the action of a real form in a complex flag manifold.

2000 Mathematics Subject Classification. Primary 57T15; Secondary 14M15, 17B20, 32V40.

Key words and phrases. Complex flag manifold, compact homogeneous manifold, minimal orbit of a real form, parabolic CR algebra, Euler-Poincarée characteristic.

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