四元数空间中复双曲格的Milnor-Wood不等式
A Milnor-Wood inequality for complex hyperbolic lattices in quaternionic space
摘要：
证明了紧致复双曲流形的基本群在四元数双曲空间的等距群中的表示的Milnor-Wood不等式.特别令人感兴趣的是平等的情况，以及它对刚性的应用。我们证明了等式只能对全测地表示实现，从而建立了全测地表示的整体刚性定理。
英文摘要：
We prove a Milnor-Wood inequality for representations of the fundamental group of a compact complex hyperbolic manifold in the group of isometries of quaternionic hyperbolic space. Of special interest is the case of equality, and its application to rigidity. We show that equality can only be achieved for totally geodesic representations, thereby establishing a global rigidity theorem for totally geodesic representations.
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