摘要
On the path space over a compact Riemannian manifold, the global existence and the global uniqueness of the quasi-invariant geodesic flows with respect to a negative Markov connection are obtained in this paper. The results answer affirmatively a left problem of Li.
On the path space over a compact Riemannian manifold, the global existence and the global uniqueness of the quasi-invariant geodesic flows with respect to a negative Markov connection are obtained in this paper. The results answer affirmatively a left problem of Li.
基金
The authors thank Dr. Li Xiangdong for posing this question and Prof. Ma Zhiming for his encouragement. This project was supported by China Postdoctoral Science Foundation, Tianyuan Foundation
the Mathematical Center of Ministry of Education.
