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The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie bialgebroid) is introduced in such a way that a Jacobi manifold has associated a canonical generalized Lie bialgebroid. As a kind of converse, we prove that a Jacobi structure can be defined on the base space of a generalized Lie bialgebroid. We also show that it is… (More)

- Maria Zolfo, David Iglesias, +7 authors Lutgarde Lynen
- AIDS research and therapy
- 2010

BACKGROUND
We present an innovative approach to healthcare worker (HCW) training using mobile phones as a personal learning environment.Twenty physicians used individual Smartphones (Nokia N95 and iPhone), each equipped with a portable solar charger. Doctors worked in urban and peri-urban HIV/AIDS clinics in Peru, where almost 70% of the nation's HIV… (More)

We prove some general results about the relation between the 1-cocycles of an arbitrary Lie algebroid A over M and the leaves of the Lie algebroid foliation on M associated with A. Using these results, we show that a E 1 (M)-Dirac structure L induces on every leaf F of its characteristic foliation a E 1 (F)-Dirac structure L F , which comes from a… (More)

- Robert W Aldridge, David Iglesias, Carlos F Cáceres, J Jaime Miranda
- BMC public health
- 2009

BACKGROUND
The HIV epidemic in Peru is still regarded as concentrated -- sentinel surveillance data shows greatest rates of infection in men who have sex with men, while much lower rates are found in female sex workers and still lower in the general population. Without an appropriate set of preventive interventions, continuing infections could present a… (More)

- D Iglesias, J C Marrero, D Mart´in De Diego, D Sosa
- 2008

The purpose of this paper is describe Lagrangian Mechanics for constrained systems on Lie algebroids, a natural framework which covers a wide range of situations (systems on Lie groups, quotients by the action of a Lie group, standard tangent bundles...). In particular, we are interested in two cases: singular Lagrangian systems and vakonomic mechanics… (More)

- D Iglesias, J C Marrero, E Padr´on, D Sosa
- 2005

We introduce the notion of a symplectic Lie affgebroid and their Lagrangian sub-manifolds in order to describe time-dependent Mechanics in terms of this type of structures. Analogous to the autonomous case, we construct the Tulczyjew's triple associated with a Lie affgebroid and a Hamiltonian section. We describe our theory with several examples.

We study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras. Lie bialgebras are examples of generalized Lie bialgebras. Moreover, we prove that the last ones can be considered as the infinitesimal invariants of Lie groups endowed with a certain type of Jacobi structures. We also propose a method to obtain generalized Lie… (More)

- L.P. Rodrigues, D. Iglesias, +7 authors C.A. Netto
- Brazilian journal of medical and biological…
- 2012

Cell transplantation is a promising experimental treatment for spinal cord injury. The aim of the present study was to evaluate the efficacy of mononuclear cells from human umbilical cord blood in promoting functional recovery when transplanted after a contusion spinal cord injury. Female Wistar rats (12 weeks old) were submitted to spinal injury with a… (More)

We study Jacobi structures on the dual bundle A * to a vector bundle A such that the Jacobi bracket of linear functions is again linear and the Jacobi bracket of a linear function and the constant function 1 is a basic function. We prove that a Lie algebroid structure on A and a 1-cocycle φ ∈ Γ(A *) induce a Jacobi structure on A * satisfying the above… (More)

- J. Grabowski, D. Iglesias, J. C. Marrero, E. Padrón, P. Urbanski
- 2002

We study affine Jacobi structures on an affine bundle π : A → M. We prove that there is a one-to-one correspondence between affine Jacobi structures on A and Lie algebroid structures on the vector bundle A + = p∈M Af f (Ap, R) of affine functionals. Some examples and applications, also for the linear case, are discussed. For a special type of affine Jacobi… (More)