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In geometric topology, McShane's identity for a once punctured torus with a complete, finite-volume hyperbolic structure is given by : where * the sum is over all simple closed geodesics γ on the torus; and * ''ℓ''(''γ'') denotes the hyperbolic length of ''γ''. ==References== *''Necessary and Sufficient Conditions for McShane's Identity and Variations'' Ser Peow Tan, Yan Loi Wong, and Ying Zhang eprint arXiv:math/0411184 () *McShane, G. Simple geodesics and a series constant over Teichmuller space. Invent. Math. 132 (1998), no. 3, 607–632. 抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「McShane's identity」の詳細全文を読む スポンサード リンク
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