A theta-stable homogeneous space G/H is introduced with the associated Riemannian space of compact type GU/HU. The equation among the characteristic classes over Γ/H inherits from the corresponding one over GU/HU. As an application we also obtain a certain necessary condition for the existence of a uniform lattice in a pseudo-Riemannian homogeneous space.[ preprint version(dvi) | ZMath | Ph.D. thesis | related papers ]
© Toshiyuki Kobayashi