科研之友
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摘要
We investigate the vertical foliation of the standard complex contact structure on Gamma\Sl(2, C), where Gamma is a discrete subgroup. We find that, if Gamma is nonelementary, the vertical leaves on Gamma \ Sl(2, C) are holomorphic but not regular. However, if F is Kleinian, then Gamma \ Sl(2,C) contains an open, dense set on which the vertical leaves are regular, complete and biholomorphic to C*. If Gamma is a uniform lattice, the foliation is nowhere regular, although there are both infinitely many compact and infinitely many nonclosed leaves.
- 出版日期2010-8
