报告地点:学院会议室401
报告人:张影
主办单位:数学学院
报告人简介:
张影,苏州大学数学科学学院教授,从事低维流形的几何拓扑学研究,在JDG, Adv. Math., Amer. J. Math. 等国际数学期刊发表研究论文。
报告简介:
We explicitly find the minima as well as the minimum points of the geodesic length functions for the family of filling (hence non-simple) closed curves, a^2b^n (n ≥ 3), on a complete oneholed hyperbolic torus in its relative Teichmüller space, where a, b are simple closed curves on the one-holed torus which intersect exactly once transversely. This provides concrete examples for the problem to minimize the geodesic length of a fixed filling closed curve on a complete hyperbolic surface of finite type in its relative Teichmüller space. This is joint work with Zhongzi Wang.