Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Abella, Álvaro"'
This paper studies nonsmooth variational problems on principal bundles for nonholonomic systems with collisions taking place in the boundary of the manifold configuration space of the nonholonopmic system. In particular, we first extended to a nonsmo
Externí odkaz:
http://arxiv.org/abs/2311.07707
In this paper, variational techniques are used to analyze the dynamics of nonholonomic mechanical systems with impacts. Implicit nonholonomic smooth Lagrangian and Hamiltonian systems are extended to a nonsmooth context appropriate for collisions. In
Externí odkaz:
http://arxiv.org/abs/2311.02614
For each positive integer $k$, the bundle of $k$-jets of functions from a smooth manifold, $X$, to a Lie group, $G$, is denoted by $J^k(X,G)$ and it is canonically endowed with a Lie groupoid structure over $X$. In this work, we utilize a linear conn
Externí odkaz:
http://arxiv.org/abs/2207.03284
In this work, we develop a Lagrangian reduction theory for covariant field theories with gauge symmetries. These symmetries are modeled by a Lie group fiber bundle acting fiberwisely on a configuration bundle. In order to reduce the variational princ
Externí odkaz:
http://arxiv.org/abs/2202.04578
Autor:
Abella, Álvaro Rodríguez, Leok, Melvin
This paper develops the theory of discrete Dirac reduction of discrete Lagrange-Dirac systems with an abelian symmetry group acting on the configuration space. We begin with the linear theory and, then, we extend it to the nonlinear setting using ret
Externí odkaz:
http://arxiv.org/abs/2202.00803
In this work, generalized principal bundles modelled by Lie group bundle actions are investigated. In particular, the definition of equivariant connections in these bundles, associated to Lie group bundle connections, is provided, together with the a
Externí odkaz:
http://arxiv.org/abs/2201.07088
Akademický článek
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Akademický článek
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Publikováno v:
General Relativity and Gravitation, 2024
The gauge formalism in \textit{telepalallel gravity} provides an interesting viewpoint to describe interactions according to an anholonomic observer's tetrad basis. Without going into assessing the complete viability of quantization in an early stage
Externí odkaz:
http://arxiv.org/abs/1012.4730
Autor:
Abella, Álvaro Rodríguez, Leok, Melvin
Publikováno v:
Journal of Geometric Mechanics. 15:319-356
This paper develops the theory of discrete Dirac reduction of discrete Lagrange-Dirac systems with an abelian symmetry group acting on the configuration space. We begin with the linear theory and, then, we extend it to the nonlinear setting using ret
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3319a350c7a894576a188d778c9e58f7
https://doi.org/10.3934/jgm.2023013
https://doi.org/10.3934/jgm.2023013
