Notes sur les vari\'et\'es diff\'erentiables, structures complexes et quaternioniques et applications
Differential Geometry
2010-04-07 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1003.5762,
title = {Notes sur les vari\'et\'es diff\'erentiables, structures complexes et quaternioniques et applications},
author = {Michel Dubois-Violette},
journal= {arXiv preprint arXiv:1003.5762},
year = {2010}
}
Comments
118 pages, in French