Length functions in flat metrics

hyperbolic metric;length functions;Euclidean cone metric;curves on surfaces

Bankovic, Anja

关键词: hyperbolic metric;    length functions;    Euclidean cone metric;    curves on surfaces;   

Others  :  https://www.ideals.illinois.edu/bitstream/handle/2142/45475/Anja_Bankovic.pdf?sequence=1&isAllowed=y

美国|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 摘 要 】

This dissertation is concerned with equivalence relations on homotopy classes of curves comingfrom various spaces of at metrics on a genus g >1 surface. We prove an analog of a result of Randol (building on work of Horowitz) for subfamilies of at metrics coming from q-di erentials. In addition we also describe how these equivalence relations are related to each other.