Representations of the group of smooth mappings of a manifold X into a compact Lie group
I. M. Gelfand, M. I. Graev, A. M. Verťik (1977)
Compositio Mathematica
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Displaying similar documents to “Energy machineries on a manifold; application to the construction of new energy representations of Gauge groups.”
Representations of the group of smooth mappings of a manifold X into a compact Lie group
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We consider a class of two-dimensional Ginzburg-Landau problems which are characterized by energy density concentrations on a one-dimensional set. In this paper, we investigate the states of vanishing energy. We classify these zero-energy states in the whole space: They are either constant or a vortex. A bounded domain can sustain a zero-energy state only if the domain is a disk and the state a vortex. Our proof is based on specific entropies which lead to a kinetic formulation, and...
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