1,868 research outputs found
Twisted Jacobi manifolds, twisted Dirac-Jacobi structures and quasi-Jacobi bialgebroids
We study twisted Jacobi manifolds, a concept that we had introduced in a
previous Note. Twisted Jacobi manifolds can be characterized using twisted
Dirac-Jacobi, which are sub-bundles of Courant-Jacobi algebroids. We show that
each twisted Jacobi manifold has an associated Lie algebroid with a 1-cocycle.
We introduce the notion of quasi-Jacobi bialgebroid and we prove that each
twisted Jacobi manifold has a quasi-Jacobi bialgebroid canonically associated.
Moreover, the double of a quasi-Jacobi bialgebroid is a Courant-Jacobi
algebroid. Several examples of twisted Jacobi manifolds and twisted
Dirac-Jacobi structures are presented
On quasi-Jacobi and Jacobi-quasi bialgebroids
We study quasi-Jacobi and Jacobi-quasi bialgebroids and their relationships
with twisted Jacobi and quasi Jacobi manifolds. We show that we can construct
quasi-Lie bialgebroids from quasi-Jacobi bialgebroids, and conversely, and also
that the structures induced on their base manifolds are related via a quasi
Poissonization
Internal deformation of Lie algebroids and symplectic realizations
Given a Lie algebroid and a bundle over its base which is endowed
with a localizable Poisson structure and a flat connection, we construct an extended
bundle whose dual is endowed with an almost-Poisson structure that is a
quadratic Poisson structure when a certain compatibility property is satisfied. This
new formalism on Lie algebroids describes systems with internal degrees of freedomCalouste Gulbenkian Foundation,
PRODEP/5.3/2003, POCI/MAT/ 58452/2004; CMUC/FCT and the project BFM-2003-02532
Jacobi-Nijenhuis algebroids and their modular classes
Jacobi-Nijenhuis algebroids are defined as a natural generalization of
Poisson-Nijenhuis algebroids, in the case where there exists a Nijenhuis
operator on a Jacobi algebroid which is compatible with it. We study modular
classes of Jacobi and Jacobi-Nijenhuis algebroids
Estudo dos solos do município de Piratini.
bitstream/item/41337/1/Piratini.pdf; bitstream/item/41340/1/mapa-capacidade-de-uso.pdf; bitstream/item/41341/1/mapa-geomorfologia.pdf; bitstream/item/41342/1/mapa-solos.pd
Non-symplectic symmetries and bi-Hamiltonian structures of the rational Harmonic Oscillator
The existence of bi-Hamiltonian structures for the rational Harmonic
Oscillator (non-central harmonic oscillator with rational ratio of frequencies)
is analyzed by making use of the geometric theory of symmetries. We prove that
these additional structures are a consequence of the existence of dynamical
symmetries of non-symplectic (non-canonical) type. The associated recursion
operators are also obtained.Comment: 10 pages, submitted to J. Phys. A:Math. Ge
Genotype x environment interaction, adaptability and stability of 'Piel de Sapo' melon hybrids through mixed models.
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Previous issue date: 2019bitstream/item/209064/1/ART19121.pd
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