Category: ariel
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Obstructions to the existence of a Dirac complement
16 Sep 2025. Poster by Tom Ariel at the meeting of the Spanish Network of Geometry and Physics, Barcelona. Abstract: Dirac structures are a geometric object generalizing symplectic and Poisson structures. From a physics viewpoint, they describe mechanical systems with both symmetries and constraints. Geometrically, they are given by subbundles of a vector bundle with…
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Obstructions to the existence of a Dirac complement, poster
3 Jul 2025. Poster by Tom Ariel at the conference Interactions of Poisson Geometry, Lie Theory and Symmetry.
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The space of Dirac structures and the complement problem, by T. Ariel
Introduction to generalized metrics, Dirac structures and their integrability in terms of orthogonal transformations, the complement problem.