Weierstrass Points and Simple Geodesics

Weierstrass Points and Simple Geodesics
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DOI:
10.1112/s0024609303002686
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发表时间:
2004-03
影响因子:
0.9
通讯作者:
G. McShane
G. McShane
中科院分区:
数学3区
文献类型:
--
作者:
G. McShane

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研究了在魏尔斯特拉斯点处与完全简单测地线相切的向量集,并将其解释为Bman级数集的无穷小形式。给出了简单测地线长度的三个新恒等式。基本利用了椭圆型对合的性质。2000年数学科目分类57M50。
The set of vectors tangent to complete simple geodesics at a Weierstrass point is investigated, and interpreted as an infinitesimal version of the Birman–Series set. Three new identities for the lengths of simple geodesics are deduced. Fundamental use is made of the properties of the elliptic involution. 2000 Mathematics Subject Classification 57M50.