题目：Chains in CR geometry as geodesics of a Kropina metric

报告人：Prof. Vladimir Matveev

（德国Jena大学,研究领域：微分几何、可积系统等）

Abstract: We connect CR and Finlser geometry with the help of an observation from mathematical theory of relativity: with the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the CR structure. This observation allows us to combine the results and methods from both theories, and to reprove and generalize the classical results of [J.-H. Cheng, 1988] stating that chains determine the CR structure, and of [H. Jacobowitz 1985] stating that two points can be connected by a chain. The talk is based on the joint work [arXiv:1806.01877] with J.H. Cheng, T. Marugame and R. Montgomery.

时间： 5月16日（周四）下午15:00--16:00地点：565net必赢客户端教二楼 613 教室

联系人：许明

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