Results 1 to 10 of about 191,927 (272)
On the Contact Geometry and the Poisson Geometry of the Ideal Gas [PDF]
Entropy, 2018 We elaborate on existing notions of contact geometry and Poisson geometry as applied to the classical ideal gas. Specifically, we observe that it is possible to describe its dynamics using a 3-dimensional contact submanifold of the standard 5-dimensional
J. M. Isidro, P. Fernández de Córdoba
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Simultaneous deformations and Poisson geometry [PDF]
Compositio Mathematica, 2014 We consider the problem of deforming simultaneously a pair of given structures. We show that such deformations are governed by an L-infinity algebra, which we construct explicitly. Our machinery is based on Th.
Bursztyn +9 more
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Poisson-Riemannian geometry [PDF]
Journal of Geometry and Physics, 2016 We deform classical geometry, including connections, to first order in a parameter.
Beggs, EJ, Majid, S
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Poisson Geometry in Constrained Systems [PDF]
Reviews in Mathematical Physics, 2002 Constrained Hamiltonian systems fall into the realm of presymplectic geometry. We show, however, that also Poisson geometry is of use in this context.
Bertlmann R. A. +11 more
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Universe, 2022 This work contains a brief and elementary exposition of the foundations of Poisson and symplectic geometries, with an emphasis on applications for Hamiltonian systems with second-class constraints.
Alexei A. Deriglazov
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Geometry of Tangent Poisson–Lie Groups
Mathematics, 2023 Let G be a Poisson–Lie group equipped with a left invariant contravariant pseudo-Riemannian metric. There are many ways to lift the Poisson structure on G to the tangent bundle TG of G.
Ibrahim Al-Dayel +2 more
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Affine Poisson and affine quasi-Poisson T-duality
Nuclear Physics B, 2019 We generalize the Poisson–Lie T-duality by making use of the structure of the affine Poisson group which is the concept introduced some time ago in Poisson geometry as a generalization of the Poisson–Lie group. We also introduce a new notion of an affine
Ctirad Klimčík
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Cluster algebras and Poisson geometry
Moscow Mathematical Journal, 2003 We introduce a Poisson variety compatible with a cluster algebra structure and a compatible toric action on this variety. We study Poisson and topological properties of the union of generic orbits of this toric action.
Gekhtman, M. +2 more
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On the variational noncommutative Poisson geometry [PDF]
Physics of Particles and Nuclei, 2011 We outline the notions and concepts of the calculus of variational multivectors within the Poisson formalism over the spaces of infinite jets of mappings from commutative (non)graded smooth manifolds to the factors of noncommutative associative algebras ...
A. V. Kiselev +6 more
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Poisson deformations and birational geometry [PDF]
, 2014 Let \pi: Y -> X be a crepant projective resolution of an affine symplectic variety X with a good C^*-action. We interpret the second cohomology H^2(Y, C) in two ways. First, H^2(Y, C) is the Picard group of Y tensorised with C.
Namikawa, Yoshinori
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