11 citations · 40 across the 15 of their papers we have counts for
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math-ph2018★ 2 cited
Singular symplectic cotangent bundle reduction of gauge field theory
Tobias Diez, Gerd Rudolph
We prove a theorem on singular symplectic cotangent bundle reduction in the Fréchet setting and apply it to Yang-Mills-Higgs theory with special emphasis on the Higgs sector of the…
math-ph2018★ 1 cited
Clebsch-Lagrange variational principle and geometric constraint analysis of relativistic field theories
Tobias Diez, Gerd Rudolph
Inspired by the Clebsch optimal control problem, we introduce a new variational principle that is suitable for capturing the geometry of relativistic field theories with constraint…
math-ph2014★ 4 cited
Slice theorem for Fréchet group actions and covariant symplectic field theory
Tobias Diez
A general slice theorem for the action of a Fréchet Lie group on a Fréchet manifolds is established. The Nash-Moser theorem provides the fundamental tool to generalize the result o…