Flexing closed hyperbolic manifolds.
Flexing closed hyperbolic manifolds.
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弯曲闭双曲流形。
DOI：
10.2140/gt.2007.11.2413
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发表时间：
2007
影响因子：
2
通讯作者：
M. Thistlethwaite
中科院分区：
文献类型：
--
作者：
D. Cooper;D. Long;M. Thistlethwaite
我们证明了对于某些闭双曲流形，当把它看作是一个真实的射影结构时，可以使真实的双曲结构非平凡地变形。它还表明，在存在一个温和的光滑性假设，存在这样的真实的投影变形是等价的问题，是否可以nontrivially变形的正则表示的真实的双曲结构时，它被认为是一组复双曲等距。闭双曲流形的集合，人们可以做到这一点似乎是神秘的。57M50
We show that for certain closed hyperbolic manifolds, one can nontrivially deform the real hyperbolic structure when it is considered as a real projective structure. It is also shown that in the presence of a mild smoothness hypothesis, the existence of such real projective deformations is equivalent to the question of whether one can nontrivially deform the canonical representation of the real hyperbolic structure when it is considered as a group of complex hyperbolic isometries. The set of closed hyperbolic manifolds for which one can do this seems mysterious. 57M50