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

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

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 …