October 25, 2016
1:50PM - 2:45PM
Math Tower 154
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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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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.