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Metric Bundles
Geometry/Topology| Speaker: | Pranab Sardar, UC Davis |
| Location: | 2112 MSB |
| Start time: | Tue, Oct 30 2012, 3:10PM |
Metric bundles will be introduced. These are coarse geometric analogue of fiber bundles in topology and also natural generalizations of the "tree of metric spaces" studied by Bestvina-Feighn, in their 1992 J. Differential Geom paper. Existence of quasi-isometric (Q.I.) sections in a metric bundle will then obtained under suitable conditions. Given this, following Bestvina-Feighn, sufficient conditions will be obtained for the total space of a metric bundle to be Gromov hyperbolic. A sketch of the proof of this result will be given and finally some applications will be stated. This is a joint work with Mahan Mj.