论文标题
四离子叶子和孔的共同体学
Cohomology of Quaternionic Foliations and Orbifolds
论文作者
论文摘要
从对Quaternionic几何形状和Quaternionic k {ä} hler歧管的简洁综述开始，我们定义了横向的quaternionic k {ä} hler叶叶。然后，我们制定并证明V.Y.现在经典结果的叶面版本。 Kraines和A. Fujiki关于Quaternionic K {ä} Hler歧管的共同体学。最后，由于任何Orbifold都可以实现为适当定义的Riemannian叶片的叶片空间，因此我们为Quaternionic Orbifolds重新制定了我们的结果。
Starting with a concise review of quaternionic geometry and quaternionic K{ä}hler manifolds, we define a transversely quaternionic K{ä}hler foliation. Then we formulate and prove the foliated versions of the now classical results of V.Y. Kraines and A. Fujiki on the cohomology of quaternionic K{ä}hler manifolds. Finally, as any orbifold can be realized as the leaf space of a suitably defined Riemannian foliation we reformulate our results for quaternionic orbifolds.
