The double of a hyperbolic manifold and non-positively curved exotic PL structures
The double of a hyperbolic manifold and non-positively curved exotic PL structures
复制标题
双曲流形和非正曲奇特 PL 结构的双重
DOI：
10.1090/s0002-9947-02-03076-3
复制
发表时间：
2002
影响因子：
1.3
通讯作者：
P. Ontaneda
中科院分区：
文献类型：
--
作者：
P. Ontaneda
我们给出了维数大于5的非紧有限体积真实的双曲流形的例子，使得它们的双曲流形至少允许三个非等价的光滑PL结构，其中两个允许非正曲率的黎曼度量，而第三个不允许。我们还证明了维数大于4的非紧有限体积真实的双曲流形的对偶是可微刚性的。
We give examples of non-compact finite volume real hyperbolic manifolds of dimension greater than five, such that their doubles admit at least three non-equivalent smoothable PL structures, two of which admit a Riemannian metric of non-positive curvature while the third does not. We also prove that the doubles of non-compact finite volume real hyperbolic manifolds of dimension greater than four are differentiably rigid.