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math.DG2022★ 2 cited
Dynamical mechanisms for Kaluza-Klein theories
Frédéric Hélein
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…
math.DG2003★ 28 cited
Hamiltonian stationary tori in the complex projective plane
Frédéric Hélein, Pascal Romon
We analyze here Hamiltonian stationary surfaces in the complex projective plane as (local) solutions to an integrable system, formulated as a zero curvature on a loop group. As an…