学术报告

报告题目：Two dimensional examples of the Jacobi-Maupertuis metric

报告人： Richard Moeckel教授 （明尼苏达大学）

报告时间：2019年2月28日下午15:30-17:30

报告地点：25教18楼报告厅

参加人员：教师、研究生、本科生

报告摘要：The orbits of a Hamiltonian system on a fixed energy level can be viewed as geodesics of the corresponding Jacobi-Mauptertuis metric on the configuration space. For systems of two degrees of freedom, this is a metric on the two-dimensional configuration space. In this talk I will look at some simple examples from celestial mechanics, starting with the Kepler problem and moving on to the collinear and isosceles three-body problems. I will look at the problem of visualizing the Kepler surface by embedding it in Euclidean space and discuss questions about length-minimizing geodesics for the three-body problems.

报告人简介：Richard Moeckel， 美国明尼苏达大学教授，天体力学领域国际有名的数学家。主持过多项美国自然科学基金，在Inventiones Mathematicae, Trans AMS, SIAM Review, JDE等一流杂志上发表科研论文四十余篇。

欢迎届时参加！