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Riley slice : ウィキペディア英語版
Riley slice

In the mathematical theory of Kleinian groups, the Riley slice of Schottky space is a family of Kleinian groups generated by two parabolic elements.
It was studied in detail by , and some subtle errors in their paper were corrected by .
==Definition==

The Riley slice consists of the complex numbers ρ such that the two matrices
: \begin1&1\\0&1\\ \end, \begin1&0\\ \rho&1\\ \end
generate Kleinian group ''G'' with regular set Ω such that Ω/''G'' is a 4-times punctured sphere.
The Riley slice is the quotient of the Teichmuller space of a 4-times punctured sphere by a group generated by Dehn twists around a curve, and so is topologically an annulus.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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