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Differential Geometry Seminar - Samuel Lin

math_sculpture
October 25, 2016
1:50PM - 2:45PM
Math Tower 154

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Add to Calendar 2016-10-25 13:50:00 2016-10-25 14:45:00 Differential Geometry Seminar - Samuel Lin Title: Curvature Free Rigidity for Higher Rank Three-manifoldsSpeaker: Samuel Lin (Michigan State University)Abstract: Fixing K=-1,0, or 1, a complete Riemannian manifold is said to have higher rank if each geodesic admits a parallel vector field making curvature K with the geodesic. Locally symmetric spaces provide examples. Rank rigidity theorems aim to show that these are the only examples of manifolds of higher rank, usually with additional curvature assumptions. After discussing historical results, I'll discuss how rank rigidity results hold in dimension three without additional curvature assumptions. Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Curvature Free Rigidity for Higher Rank Three-manifolds

Speaker: Samuel Lin (Michigan State University)

Abstract: Fixing K=-1,0, or 1, a complete Riemannian manifold is said to have higher rank if each geodesic admits a parallel vector field making curvature K with the geodesic. Locally symmetric spaces provide examples. Rank rigidity theorems aim to show that these are the only examples of manifolds of higher rank, usually with additional curvature assumptions. After discussing historical results, I'll discuss how rank rigidity results hold in dimension three without additional curvature assumptions.

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