EVENT DETAILS AND ABSTRACT

Title: Degree of mobility and its applications: Lie Problem, Beltrami Problem and Schouten Problem
Speaker: Professor Vladimir Matveev
Speaker Info: Friedrich-Schiller-Universität Jena
Brief Description:
Special Note:
Abstract:

All these problems are different versions of the following question: Can two different metrics have the same geodesics? During my talk I will explain the solution of the Lie Problem (which is the infinitesimal version of the question above; this is a joint result with R. Bryant and G. Manno), of the Beltrami Problem (which is presicely the question above, my contribution is to solve it on closed manifolds, the first most important steps were done together with P.Topalov), and of the Lichnerowicz-Obata conjecture (which suggests an answer to Schouten problem, which is an infinitesimal global version of the question above).