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.

Journal of the Faculty of Science. University of Tokyo. Section IA. Mathematics

A[ preprint version(dvi) | ZMath | Ph.D. thesis | related papers ]theta-stable homogeneous space G/H is introduced with the associated Riemannian space of compact typeG_{U}/H_{U}. The equation among the characteristic classes over Γ/Hinherits from the corresponding one overG_{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.

© Toshiyuki Kobayashi