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- W1662310348 abstract "The paper proved that every $C^2$-solution of a given first order PDEs system, regarded on the jet fibre bundle of order one $J^1(T,M)$, may be viewed as a generalized harmonic map, via the least squares variational method. Our ideas are structured in the following way: 1) we find a suitable geometrical structure on $J^1(T,M)$ that convert the solutions of the given PDEs system into generalized harmonic maps; 2) we build a natural geometry induced by a such PDEs system; 3) we construct a field theory, in a general setting, naturally attached to this PDEs system." @default.
- W1662310348 created "2016-06-24" @default.
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- W1662310348 date "2001-01-25" @default.
- W1662310348 modified "2023-10-15" @default.
- W1662310348 title "From PDE Systems and Metrics to Generalized Field Theories" @default.
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