Twistor Theory and the Harmonic Hull

/ Authors

/ Abstract

We use twistor theory to identify the harmonic hull of an arbitrary connected open subset U of \({\mathbf{R}}^{2m}\) for m ≥ 2. It is the natural domain of analytic continuation in \({\mathbf{C}}^{2m}\) for harmonic functions on U.

Journal: arXiv: Differential Geometry

DOI: 10.1007/978-1-4614-7193-6_4

Twistor Theory and the Harmonic Hull

/ Authors

M. Eastwood, Fengjun Xu

/ Abstract

We use twistor theory to identify the harmonic hull of an arbitrary connected open subset U of \({\mathbf{R}}^{2m}\) for m ≥ 2. It is the natural domain of analytic continuation in \({\mathbf{C}}^{2m}\) for harmonic functions on U.

Journal: arXiv: Differential Geometry

DOI: 10.1007/978-1-4614-7193-6_4