Boundary rigidity of two-dimensional strongly geodesic minimizing (SGM) manifolds
Prof. Leonid N. Pestov,
Immanuel Kant Baltic Federal University
| Speaker |
Prof. Leonid N. Pestov,
Immanuel Kant Baltic Federal University
|
|---|---|
| When |
Jan 20, 2017
from 04:00 PM to 05:00 PM |
| Where | LH006 |
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Abstract
Let (M, g) be a smooth compact Riemannian manifold with boundary and let dg be the boundary distance function. The Boundary Rigidity problem is the problem about injectivity of the map g → dg (up to a natural obstruction). There are some examples of boundary rigid manifolds (flat metric – M. Gromov, two-dimensional manifolds of non-positive curvature – C. Croke, manifolds with metric, close to flat metric – D.Burago & S.Ivanov, two-dimensional simple manifolds – L.N. Pestov & G.Uhlmann). Here we generalize the last result for two-dimensional SGM manifolds.