過去の記録 ~05/21次回の予定今後の予定 05/22~


16:30-18:00   数理科学研究科棟(駒場) 123号室
Michael Eastwood 氏 (Australian National University)
How to recognise the geodesics of a metric connection (ENGLISH)
[ 講演概要 ]
The geodesics on a Riemannian manifold form a distinguished family of curves, one in every direction through every point. Sometimes two metrics can provide the same family of curves: the Euclidean metric and the round metric on the hemisphere have this property. It is also possible that a family of curves does not arise from a metric at all. Following a classical procedure due to Roger Liouville, I shall explain how to tell these cases apart on a surface. This is joint work with Robert Bryant and Maciej Dunajski.
[ 参考URL ]