Riemann surfaces上亚纯联络的庞加莱-本迪克松定理
A Poincaré-Bendixson theorem for meromorphic connections on Riemann surfaces
摘要：
证明了一个描述紧致Riemann曲面上亚纯联络测地线渐近性态的庞加莱-本迪克松定理。我们也将简要讨论非紧黎曼曲面的情形，并详细研究复环面上全纯联络的测地线。
英文摘要：
We prove a Poincaré-Bendixson theorem describing the asymptotic behavior of geodesics for a meromorphic connection on a compact Riemann surface. We shall also briefly discuss the case of non-compact Riemann surfaces, and study in detail the geodesics for a holomorphic connection on a complex torus.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
