On the Holomorphic Torus-Bott Tower of Aspherical Manifolds
On the Holomorphic Torus-Bott Tower of Aspherical Manifolds
复制标题
非球面流形的全纯Torus-Bott塔
DOI：
10.1134/s0081543814060157
复制
发表时间：
2014
影响因子：
0.5
通讯作者：
M.Nakayama
中科院分区：
文献类型：
--
作者：
Y.kamishima;M.Nakayama
引入了全纯环-博特塔的概念，它是一种光纤为复环面的迭代全纯塞菲特光纤空间。这被认为是真正的博特塔的全纯版本。全纯环-博特塔的顶空间称为全纯环-博特流形。讨论了全纯环-博特流形的结构，重点讨论了全纯环-博特流形的全纯刚性。
We introduce a notion ofholomorphic torus-Bott towerwhich is an iterated holomorphic Seifert fiber space with fiber a complex torus. This is thought of as a holomorphic version of areal Bott tower. The top space of the holomorphic torus-Bott tower is called a holomorphic torus-Bott manifold. We discuss the structure of holomorphic torus-Bott manifolds and particularly theholomorphic rigidityof holomorphic torus-Bott manifolds.