We study the non-simple closed geodesics of the Riemann surfaces of signature (0, 3). In the aim of classifying them, we define one parameter: the number of strings. We show that for a given number of strings, a minimal geodesic exists; we then give its representation and its length which depends on the boundary geodesics.
机构:
Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Duan HuaGui
Liu Hui
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机构:
Univ Sci & Technol China, Chinese Acad Sci, Sch Math Sci, Key Lab Wu Wen Tsun Math, Hefei 230026, Peoples R ChinaNankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China