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math.DG2023
Gauge and Gravity theories on a dynamical principal bundle
Frédéric Hélein
In this paper we present original variational formulations of Yang-Mills, Einstein's gravitation and Kaluza-Klein theories, where, in the spirit of General Relativity, the principa…
math.DG2018
Isoperimetric inequalities and calibrations
Frédéric Hélein
The subject of these Notes is the new proof, proposed in [F. H{é}lein, In{é}galit{é} isop{é}rim{é}trique et calibrations, Annales de l'Institut Fourier 44, 4 (1994), 1211-1218] of…