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Graduate Student Geometry-Topology Seminar

Monday, February 27, 2017 - 3:15pm

Jackson (McFeeley) Goodman

University of Pennsylvania


University of Pennsylvania


We will explore when a complete non-compact Riemannian surface has infinitely many geometrically distinct closed geodesics.  In particular, we will discuss a positive result of Bangert for metrics of finite volume on the plane, cylinder, and Mobius band.  We will review other related results on existence of closed geodesics in both the compact and non-compact case.