科研之友
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摘要
We provide a necessary condition for the existence of a compact Clifford-Klein form of a given homogeneous space of reductive type. The key to the proof is to combine a result of Kobayashi and Ono with the observation that a fiber bundle with contractible fiber induces an isomorphism between the cohomology rings of the total space and the base space. We give some examples: SL(p+ q,R)ISO(p,q)(p,q : odd), for instance of homogeneous spaces that do not admit compact Clifford Klein forms.
- 出版日期2015-7
