Results 1 to 10 of about 17,831 (158)
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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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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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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Differential Geometry and Its Applications, 1998 This is a state-of-the-art survey, written by one of the leaders of the field. First, the local structure is described, with emphasis on linear, quadratic structures and their perturbations. Then the advances in global problems are reviewed, beginning with a general programme in section 4.
Alan Weinstein
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Poisson geometry from a Dirac perspective [PDF]
Letters in Mathematical Physics, 2017 42 pages.
Eckhard Meinrenken, Meinrenken Eckhard
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Hans Duistermaat’s contributions to Poisson geometry [PDF]
Bulletin of the Brazilian Mathematical Society, 2011 Hans Duistermaat was scheduled to lecture in the 2010 School on Poisson Geometry at IMPA, but passed away suddenly. This is a record of a talk I gave at the 2010 Conference on Poisson Geometry (the week after the School) to share some of my memories of him and to give a brief assessment of his impact on the subject.
Reyer Sjamaar, Sjamaar Reyer
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Symplectic and Poisson geometry on b-manifolds
Advances in Mathematics, 2014 34 pages. Some changes have been implemented mainly in Sections 2 and 6. Minor changes in exposition.
VÍCTOR Guillemin, Eva Miranda
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POISSON GEOMETRY IN CONSTRAINED SYSTEMS [PDF]
Reviews in Mathematical Physics, 2003 Associated to a constrained system with closed constraint algebra there are two Poisson manifolds P and Q forming a symplectic dual pair with respect to the original, unconstrained phase space: P is the image of the constraint map (equipped with the algebra of constraints) and Q the Poisson quotient with respect to the orbits generated by the ...
Bojowald, Martin, Strobl, Thomas
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Journal of High Energy Physics, 2021 We construct a Poisson algebra of brane currents from a QP-manifold, and show their Poisson brackets take a universal geometric form. This generalises a result of Alekseev and Strobl on string currents and generalised geometry to include branes with ...
Alex S. Arvanitakis
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Spectrum Analysis of Millimeter Wave Heterogeneous Network Based on Poisson Cluster Process [PDF]
Jisuanji gongcheng, 2020 To address the problem of describing the correlation between User Equipment(UE) and base station space in large-scale hot spot communication scenarios,this paper constructs a millimeter wave heterogeneous network model based on Poisson Cluster Process ...
CHEN Yuwan, JIA Xiangdong, JI Pengshan, Lü Yaping
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