The geometry on a step 3 Grushin model
In this article we study the geometry associated with the sub-elliptic operator ½ (X²1 +X²2), where X1 = ∂x and X2 = x²/2 ∂y are vector fields on R². We show that any point can be connected with the origin by at least one geodesic and we provide an approximate formula for the number of the geodesics...
| Main Authors: | , |
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| Format: | Others |
| Language: | English |
| Published: |
Universität Potsdam
2004
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| Subjects: | |
| Online Access: | http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26724 http://opus.kobv.de/ubp/volltexte/2008/2672/ |