Zobrazeno 1 - 10
of 15
pro vyhledávání: '"53D20, 53D17"'
Publikováno v:
SIGMA 20 (2024), 104, 18 pages
A hierarchy of differential equations on a Banach Lie-Poisson space related to the restricted Grassmannian is studied. Flows on the groupoid of partial isometries and on the restricted Grassmannian are described, and a momentum map picture is present
Externí odkaz:
http://arxiv.org/abs/2407.21605
Autor:
Hirota, Yuji, Ikeda, Noriaki
In a Hamiltonian Lie algebroid over a pre-symplectic manifold and over a Poisson manifold, we introduce a map corresponding to a comomentum map, called a comomentum section. We show that the comomentum section gives a Lie algebroid morphism among Lie
Externí odkaz:
http://arxiv.org/abs/2405.03533
Autor:
Marle, Charles-Michel
Gibbs states for the Hamiltonian action of a Lie group on a symplectic manifold were studied, and their possible applications in Physics and Cosmology were considered, by the French mathematician and physicist Jean-Marie Souriau. They are presented h
Externí odkaz:
http://arxiv.org/abs/2012.00582
Publikováno v:
Bulletin of the London Mathematical Society, Volume 55, Issue 1 February 2023 Pages 90-112
In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of $b$-symplectic manifolds started in [12], we prove a slice theorem for Lie group actions on $b$-symplectic manifolds.
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Externí odkaz:
http://arxiv.org/abs/1811.11894
Autor:
Skerritt, Paul, Vizman, Cornelia
Publikováno v:
J. Geom. Mech. 11(2), 255-275 (2019)
In this paper we present two dual pairs that can be seen as the linear analogues of the following two dual pairs related to fluids: the EPDiff dual pair due to Holm and Marsden, and the ideal fluid dual pair due to Marsden and Weinstein.
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Externí odkaz:
http://arxiv.org/abs/1805.01519
Autor:
Mehta, Rajan Amit
Publikováno v:
Differential Geometry and its Applications 29 (2011), 319-328
We present a general framework for reduction of symplectic Q-manifolds via graded group actions. In this framework, the homological structure on the acting group is a multiplicative multivector field.
Externí odkaz:
http://arxiv.org/abs/1009.1280
Autor:
Kolev, Boris
Publikováno v:
Discrete and Continuous Dynamical Systems - Series A 19, 3 (2007) pp. 555--574
This paper investigates different Poisson structures that have been proposed to give a Hamiltonian formulation to evolution equations issued from fluid mechanics. Our aim is to explore the main brackets which have been proposed and to discuss the dif
Externí odkaz:
http://arxiv.org/abs/0711.1412
Autor:
Bordemann, Martin
(Bi)modules, morphisms and reduction of star-products are studied in a framework of multidifferential operators along maps: morphisms deform Poisson maps and representations on functions spaces deform coisotropic maps. If a star-product is representa
Externí odkaz:
http://arxiv.org/abs/math/0403334
Publikováno v:
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Universitat Politècnica de Catalunya (UPC)
In this article, motivated by the study of symplectic structures on manifolds with boundary and the systematic study of $b$-symplectic manifolds started in [12], we prove a slice theorem for Lie group actions on $b$-symplectic manifolds.
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Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf0efef22621f8614a9f212f139e8c20
https://doi.org/10.1112/blms.12713
https://doi.org/10.1112/blms.12713
Autor:
Charles-Michel Marle
Publikováno v:
J. Geom. Symmetry Phys. 57 (2020), 45-85
Gibbs states for the Hamiltonian action of a Lie group on a symplectic manifold were studied, and their possible applications in Physics and Cosmology were considered, by the French mathematician and physicist Jean-Marie Souriau. They are presented h
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c9212dced2b476e6bb44e4582e8b6884