T. Kobayashi and K. Ono,
Note on Hirzebruch's proportionality principle,
Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics 37 (1990), no. 1, 71-87.

A theta-stable homogeneous space G/H is introduced with the associated Riemannian space of compact type G_U/H_U. The equation among the characteristic classes over Γ/H inherits from the corresponding one over G_U/H_U. As an application we also obtain a certain necessary condition for the existence of a uniform lattice in a pseudo-Riemannian homogeneous space.

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© Toshiyuki Kobayashi