2005 / September Volume 32 No.3
Geometric mechanics on the Heisenberg group
| Published Date |
2005 / September
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|---|---|
| Title | Geometric mechanics on the Heisenberg group |
| Author | |
| Keyword | |
| Download | |
| Pagination | 185-252 |
| Abstract | We give detailed discussion of subRiemannian
geometry which arised from the sub-Laplacian $\Delta_H$ on the Heisenberg group. In particular, we calculate the subRiemannian distances along the geodesics. We also find the complex action function and the volume element on the group. Using this action function and the volume element, we obtain the fundamental solution and the heat kernel for the operator $\Delta_H$.
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| AMS Subject Classification |
53C17, 53C22, 35H20
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| Received |
2004-06-23
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