Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Costa, J. M. Nunes da"'
Autor:
Costa, J. M. Nunes da, Petalidou, F.
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
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 man
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9c84c91f76f8a84a40784952d7bb1067
https://hdl.handle.net/10316/11347
https://hdl.handle.net/10316/11347
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::6e84fe4abf0dcc25adf1b6f5f045a9db
https://hdl.handle.net/10316/11369
https://hdl.handle.net/10316/11369
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
In this paper a geometrical description of the Lagrangian dynamics in quasi-coordinates on the tangent bundle, using the Lie algebroid framework, is given. Linear non-holonomic systems on Lie algebroids are solved in local coordinates adapted to the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::590bcef04ec7570e0bfd0f41912c16b9
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Based on the ideas of Marsden-Ratiu, a reduction method for Lie algebroids is developed in such a way that the canonical projection onto the reduced Lie algebroid is a homomorphism of Lie algebroids. A relation between Poisson reduction and Lie algeb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::448ae447a2eb366418c17e7d381328c1
https://hdl.handle.net/10316/11389
https://hdl.handle.net/10316/11389
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
In a recent paper [2], we studied the concept of Dirac-Nijenhuis structures. We de ned them as deformations of the canonical Lie algebroid structure of a Dirac bundle D de ned in the double of a Lie bialgebroid (A;A¤) which satisfy certain propertie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::9a09e7224e77e6ae5d6176ec43ee2825
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We introduce the concept of Dirac-Nijenhuis structures as those manifolds carrying a Dirac structure and admitting a deformation by Nijenhuis operators which is compatible with it. This concept generalizes the notion of Poisson-Nijenhuis structure an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::fd3f3d7adba9a7f6818a253e5b4048b8
Autor:
Costa, J. M. Nunes da, Damianou, P. A.
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We de ne hierarchies for negative values of the index of Poisson tensors, master symmetries and Hamiltonians for the nite, nonperiodic, relativistic Toda lattice. We show that the usual relations between master symmetries, Poisson tensors and invaria
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::92127bb311eda1385479d29ab3aa8474
Autor:
Costa, J. M. Nunes da, Petalidou, Fani
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
A reduction theorem for Jacobi-Nijenhuis manifolds is established and its relation with the reduction of homogeneous Poisson-Nijenhuis structures is shown. Reduction under Lie group actions is also studied
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b72a49356b7d4e52971aa05a6ae597e2
Autor:
Costa, J. M. Nunes da
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We associate with each differentiable manifold M equipped with a Jacobi structure and a Nijenhuis operator, a pair of Lie algebroids in duality. We show this pair constitute a generalized Lie bialgebroid if and only if M is a strict Jacobi-Nijenhuis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::342ed2481957f41c13138282d8666309
https://hdl.handle.net/10316/11457
https://hdl.handle.net/10316/11457
Autor:
Costa, J. M. Nunes da
Publikováno v:
Repositório Científico de Acesso Aberto de Portugal
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
Repositório Científico de Acesso Aberto de Portugal (RCAAP)
instacron:RCAAP
We study the relationship between two (compatible) J acobi structures on a manifold M, using their associated homogeneous Poisson structures on lR x M, in the case where these Poisson tensors are related by a Nijenhuis tensor. CMUC-FCT; PRAXIS
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5e3cd83a094167f0c8fbe76acf044e2b