Notes sur les variétés différentiables, structures complexes et quaternioniques et applications

Details Notes sur les variétés différentiables, structures complexes et quaternioniques et applications Notes sur les variétés différentiables, structures complexes et quaternioniques et applications

2010-03-30

arxiv.org/abs/1003.5762v1

Mathematics

Differential Geometry

118 pages, in French

Scientific paper

These are notes of lectures given at the Third School of Theoretical Physics in Jijel (Algeria, September 2009). The subject of these notes is differential geometry, complex and quaternionic structures with applications to theoretical physics. Concerning the physical applications, they contain several aspects of Penrose transformation in the Riemannian context (Euclidean signature) and various formulations of the Yang-Mills and Einstein equations among which several are unusual ones.

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