Zobrazeno 1 - 10
of 75
pro vyhledávání: '"Pantaleón J"'
In the context of averaging method, we describe a reconstruction of invariant connection-dependent Poisson structures from canonical actions of compact Lie groups on fibered phase spaces. Some symmetry properties of Wong's type equations are derived
Externí odkaz:
http://arxiv.org/abs/2312.09998
We present sufficient conditions for the vanishing of the first cohomology of the so-called infinitesimal Poisson algebra of a Poisson submanifold.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2305.17915
We present symbolic and numerical methods for computing Poisson brackets on the spaces of measures with positive densities of the plane, the 2-torus, and the 2-sphere. We apply our methods to compute symplectic areas of finite regions for the case of
Externí odkaz:
http://arxiv.org/abs/2110.07773
We present a class of Poisson structures on trivial extension algebras which generalize some known structures induced by Poisson modules. We show that there exists a one-to-one correspondence between such a class of Poisson structures and some data i
Externí odkaz:
http://arxiv.org/abs/2109.03460
Publikováno v:
J. Comput. Dyn. 8(3), 2021, 273-307
We present twelve numerical methods for evaluation of objects and concepts from Poisson geometry. We describe how each method works with examples, and explain how it is executed in code. These include methods that evaluate Hamiltonian and modular vec
Externí odkaz:
http://arxiv.org/abs/2010.09785
Publikováno v:
Ann. Glob. Anal. Geom. 58, 2020, 415-431
Using the notion of a contravariant derivative, we give some algebraic and geometric characterizations of Poisson algebras associated to the infinitesimal data of Poisson submanifolds. We show that such a class of Poisson algebras provides a suitable
Externí odkaz:
http://arxiv.org/abs/2004.04191
Publikováno v:
Jour. Geometric Mechanics 13 (2021), no. 4, 607--628
We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module $\textsf{PoissonGeometry}$ implements our algorithms, and accompanies this paper. We include two examples of how our methods can be used, one fo
Externí odkaz:
http://arxiv.org/abs/1912.01746
Akademický článek
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Publikováno v:
Bol. Soc. Mat. Mex. 26, 2020, 187-209
We study a class of Poisson tensors on a fibered manifold which are compatible with the fiber bundle structure by the so-called almost coupling condition. In the case of a $5$-dimensional orientable fibered manifolds with $2$-dimensional bases, we de
Externí odkaz:
http://arxiv.org/abs/1804.05946
Autor:
García-Beltrán, D.1 (AUTHOR) dennise.garcia@unison.mx, Ruíz-Pantaleón, J. C.2 (AUTHOR), Vorobiev, Yu.2 (AUTHOR)
Publikováno v:
Bulletin of the Brazilian Mathematical Society. Dec2023, Vol. 54 Issue 4, p1-45. 45p.
