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Some Penrose transforms in complex differential geometry |
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| Authors: | ANCO Stephen BLAND John EASTWOOD Michael |
| Institution: | 1. Department of Mathematics, Brock University, 500 Glenridge Avenue, St. Catharines, ON L2S 3A1,Canada 2. Department of Mathematics, University of Toronto, 100 St. George Street, Toronto, ON M5S 3G3,Canada 3. Department of Mathematics, University of Adelaide, SA 5005, Australia |
| Abstract: | In this article, we review a construction in the complex geometry often known as the Penrose transform. We then present two new applications of this transform. One concerns the construction of symmetries of the massless field equations from mathematical physics. The other concerns obstructions to the embedding of CR structures on the three-sphere. Dedicated to Professor Sheng GONG on the occasion of his 75th birthday |
| Keywords: | Penrose transform symmetries massless fields CR embedding |
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