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pro vyhledávání: '"Hélein, Frédéric"'
Autor:
Hélein, Frédéric
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 principal bundle structure over the space-time is not fixed a priori but is dy
Externí odkaz:
http://arxiv.org/abs/2310.14615
Autor:
Hélein, Frédéric
We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no fibration is as
Externí odkaz:
http://arxiv.org/abs/2201.01981
Autor:
Helein, Frederic
The aim of these notes (which were partially covered in lectures given at the Peyresq Summer School on 17--22 June, 2002) is to give an introduction to some mathematical aspects of supersymmetry. Some (hopefully) original point of view are added, by
Externí odkaz:
http://arxiv.org/abs/2006.01870
Autor:
Hélein, Frédéric, FrÂ\', Frédéric
For any positive integer $n$ and any Lie group $\mathfrak{G}$, given a definite symmetric bilinear form on $\mathbb{R}^n$ and an $\hbox{Ad}$-invariant scalar product on the Lie algebra of $\mathfrak{G}$, we construct a variational problem on fields d
Externí odkaz:
http://arxiv.org/abs/1809.03375
Autor:
Ge, Yuxin, Hélein, Frédéric
Publikováno v:
Mathematische Zeitschrift, Springer, 2002, 242 (2), pp.241-250
Using the functional associated with the optimal Wente inequality for pairs of functions on 2-dimensional domains, we show the existence of solutions to the H-system on an annulus satisfying Neumann boundary conditions.
Externí odkaz:
http://arxiv.org/abs/1805.11388
Autor:
Hélein, Frédéric
Publikováno v:
Progress in Partial Differential Equations: the Metz surveys, M. Chipot and I. Shafrir ed., Nov 1994, Metz, France. 345, 1996
The subject of these Notes is the new proof, proposed in [F. H{\'e}lein, In{\'e}galit{\'e} isop{\'e}rim{\'e}trique et calibrations, Annales de l'Institut Fourier 44, 4 (1994), 1211-1218] of the classical isoperimetric inequality in the plane. This pr
Externí odkaz:
http://arxiv.org/abs/1805.10217
Autor:
Hélein, Frédéric, Vey, Dimitri
Publikováno v:
Found. Phys. (2017) 47: 1, 1-41
Motivated by the search for a Hamiltonian formulation of Einstein equations of gravity which depends in a minimal way on choices of coordinates, nor on a choice of gauge, we develop a multisymplectic formulation on the total space of the principal bu
Externí odkaz:
http://arxiv.org/abs/1508.07765
The pull-back, push-forward and multiplication of smooth functions can be extended to distributions if their wave front set satisfies some conditions. Thus, it is natural to investigate the topological properties of these operations between spaces D\
Externí odkaz:
http://arxiv.org/abs/1409.7662