4 citations · 6 across the 6 of their papers we have counts for
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math-ph2018
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.DG2018
Slice theorem and orbit type stratification in infinite dimensions
Tobias Diez, Gerd Rudolph
We establish a general slice theorem for the action of a locally convex Lie group on a locally convex manifold, which generalizes the classical slice theorem of Palais to infinite…
math-ph2018
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…