| Título: | Vanishing Geodesic Distance on Spaces of Submanifolds and Diffeomorphisms |
| Autores: |
Michor, Peter W. Mumford, David Bryant |
| Fecha: |
2010-02-12 2005 2010-02-12 |
| Publicador: | Universität Bielefeld, Fakultät für Mathematik |
| Fuente: |
Ver documento |
| Tipo: | Journal Article |
| Tema: | |
| Descripción: |
The L^2-metric or Fubini-Study metric on the non-linear
Grassmannian of all submanifolds of type M in a Riemannian manifold (N, g) induces geodesic distance 0. We discuss another metric which involves the mean curvature and shows that its geodesic distance
is a good topological metric. The vanishing phenomenon for
the geodesic distance holds also for all diffeomorphism groups for the
L^2-metric. Mathematics |
| Idioma: | Inglés |
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