论文标题
在谎言群体的情况下
De Rham's theorem for Orlicz cohomology in the case of Lie groups
论文作者
论文摘要
在谎言组的情况下，我们证明了简单的ORLICIAL ORLICIAS的共同体和Orlicz-De Rham的共同体之间的等效性。由于第一个是与有界几何形状的均匀签约的简单络合物的准偶像计量法，因此在违约的谎言组的情况下，我们获得了第二个的不变性。我们还定义了gromov hyperbolic空间的Orlicz同谋相对于其无穷大的边界上的一个点，为此，相同的结果是正确的。
We prove the equivalence between the simplicial Orlicz cohomology and the Orlicz-de Rham cohomology in the case of Lie groups. Since the first one is a quasi-isometry invariant for uniformly contractible simplicial complexes with bounded geometry, we obtain the invariance of the second one in the case of contractible Lie groups. We also define the Orlicz cohomology of a Gromov-hyperbolic space relative to a point on its boundary at infinity, for which the same results are true.
