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Geometry Colloquium
Seminar information archive ～04/17｜Next seminar｜Future seminars 04/18～
| Date, time & place | Friday 10:00 - 11:30 126Room #126 (Graduate School of Math. Sci. Bldg.) |
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2012/11/28
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Shouhei Honda (Kyushu University)
Ricci curvature and angles (JAPANESE)
Shouhei Honda (Kyushu University)
Ricci curvature and angles (JAPANESE)
[ Abstract ]
Let X be the Gromov-Hausdorff limit space of a sequence of Riemannian manifolds with a lower Ricci curvature bound. In this talk we will give the definition of angles between geodesics on X. We apply this to prove there is a weakly twice differentiable structure on X and prove there is a unique Levi-Civita connection allowing us to define the Hessian of a twice differentiable function.
Let X be the Gromov-Hausdorff limit space of a sequence of Riemannian manifolds with a lower Ricci curvature bound. In this talk we will give the definition of angles between geodesics on X. We apply this to prove there is a weakly twice differentiable structure on X and prove there is a unique Levi-Civita connection allowing us to define the Hessian of a twice differentiable function.
