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

Year: 2010

Type: preprint

Abstract: 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1003.5762

Author: Dubois-Violette, Michel

Institutions: Université Paris-Sud, Centre National de la Recherche Scientifique, Laboratoire de Physique Théorique d’Orsay

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4297800930

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