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Some Penrose transforms in complex differential geometry Dedicated to Professor Sheng GONG on the occasion of his 75th birthday
作者姓名:ANCO Stephen  BLAND John  EASTWOOD Michael
作者单位:Department of Mathematics Brock University 500 Glenridge Avenue,St. Catharines,ON L2S 3A1,Canada,Department of Mathematics University of Toronto,100 St. George Street,Toronto,ON M5S 3G3,Canada,Department of Mathematics University of Adelaide,SA 5005,Australia
摘    要: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.


Some Penrose transforms in complex differential geometry Dedicated to Professor Sheng GONG on the occasion of his 75th birthday
ANCO Stephen,BLAND John,EASTWOOD Michael.Some Penrose transforms in complex differential geometry Dedicated to Professor Sheng GONG on the occasion of his 75th birthday[J].Science in China(Mathematics),2006(11).
Authors:ANCO Stephen  BLAND John & EASTWOOD Michael
Institution:ANCO Stephen,BLAND John & EASTWOOD Michael Department of Mathematics,Brock University,500 Glenridge Avenue,St. Catharines,ON L2S 3A1,Canada, Department of Mathematics,University of Toronto,100 St. George Street,Toronto,ON M5S 3G3,Canada, 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.
Keywords:Penrose transform  symmetries  massless fields  CR embedding  
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