Twistor integral representations of solutions of the sub-Laplacian. (English) Zbl 0979.53055

Machida, Yoshinori

Mladenov, I. M. (ed.) et al., Proceedings of the international conference on geometry, integrability and quantization, Varna, Bulgaria, September 1-10, 1999. Sofia: Coral Press Scientific Publishing. 159-162 (2000).

Summary: The twistor integral representations of solutions of the Laplacian on the complex space are well-known. The purpose of this article is to generalize the results above to that of the sub-Laplacian on the odd-dimensional complex space \(\mathbb{C}^{2n-1}\) with the standard contact structure.
For the entire collection see [Zbl 0940.00039].

MSC:

53C28	Twistor methods in differential geometry
58E20	Harmonic maps, etc.
53D10	Contact manifolds (general theory)

Keywords:

Laplacian; sub-Laplacian; contact structure