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On the Existence of Jenkins–Strebel Differentials
Author(s) -
Liu Jinsong
Publication year - 2004
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609303002935
Subject(s) - mathematics , riemann surface , quadratic equation , mathematics subject classification , subject (documents) , geometric function theory , pure mathematics , genus , type (biology) , surface (topology) , riemann hypothesis , mathematical analysis , geometry , botany , computer science , library science , ecology , biology
Let S be a compact Riemann surface of genus g > 1. By using Teichmüller theory, a new approach is obtained to the existence of a Jenkins–Strebel differential with prescribed type and heights on S . Moreover, the geometric structures of horizontal trajectories of certain classes of quadratic differentials are discussed. 2000 Mathematics Subject Classification 30F30, 30F60, 32G15.