JP Journal of Geometry and Topology
Volume 7, Issue 1, Pages 1 - 22
(March 2007)
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INTEGRAL REPRESENTATIONS OF SOLUTIONS TO THE SUB-LAPLACE EQUATIONS BY TWISTOR THEORY
Yoshinori Machida (Japan)
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Abstract:
Twistor integral representations of solutions to the Laplace
equation on the complex space 
endowed with a standard flat complex Riemannian metric, are well-known. In the
case of the odd-dimensional complex space 
we have analogous results to  [1]. In this
paper, we extend the results above to that of the sub-Laplace equation on 
with the contact structure, regarded as the Heisenberg group  |
| Keywords and phrases: sub-Laplacian, sub-Riemannian geometry, Heisenberg group, contact structure, twistor theory. |
| Communicated by Johann Davidov |
| Number of Downloads: 322 | Number of Views: 1126 |
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