On the geometry of the Virasoro-Bott group.
Michor, P.W., Ratiu, T.S. (1998)
Journal of Lie Theory
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Displaying similar documents to “On the geometric structure of the set of solutions of Einstein equations”
On the geometry of the Virasoro-Bott group.
Gauge-natural field theories and Noether theorems: canonical covariant conserved currents
Palese, Marcella, Winterroth, Ekkehart
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Summary: We specialize in a new way the second Noether theorem for gauge-natural field theories by relating it to the Jacobi morphism and show that it plays a fundamental role in the derivation of canonical covariant conserved quantities. In particular we show that Bergmann-Bianchi identities for such theories hold true covariantly and canonically only along solutions of generalized gauge-natural Jacobi equations. Vice versa, all vertical parts of gauge-natural lifts of infinitesimal...
The Jacobi variational principle revisited
Stanisław L. Bażański (2003)
Banach Center Publications
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GO++: A modular Lagrangian/Eulerian software for Hamilton Jacobi equations of geometric optics type
Jean-David Benamou, Philippe Hoch (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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We describe both the classical Lagrangian and the Eulerian methods for first order Hamilton–Jacobi equations of geometric optic type. We then explain the basic structure of the software and how new solvers/models can be added to it. A selection of numerical examples are presented.
Jacobi actions of and on two Jacobi manifolds.
Nunes da Costa, J.M. (1995)
Portugaliae Mathematica
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Symplectic solution supermanifolds in field theory
Schmitt, T.
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Summary: For a large class of classical field models used for realistic quantum field theoretic models, an infinite-dimensional supermanifold of classical solutions in Minkowski space can be constructed. This solution supermanifold carries a natural symplectic structure; the resulting Poisson brackets between the field strengths are the classical prototypes of the canonical (anti-) commutation relations. Moreover, we discuss symmetries and the Noether theorem in this context. ...