Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Tom Mestdag"'
Autor:
Joan Grandes Umbert, Tom Mestdag
Publikováno v:
Axioms, Vol 13, Iss 10, p 667 (2024)
We construct the smooth vector bundle of tensor densities of arbitrary weight in a coordinate-independent way. We prove the general existence of a globally smooth tensor density field, as well as the existence of a globally smooth metric density for
Externí odkaz:
https://doaj.org/article/673a7fd7272742faa2184817599b98b1
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 109 (2011)
This paper deals with the Lagrangian analogue of symplectic or point reduction by stages. We develop Routh reduction as a reduction technique that preserves the Lagrangian nature of the dynamics. To do so we heavily rely on the relation between Routh
Externí odkaz:
https://doaj.org/article/c86d0d7cd27b47c2bdd466317f897968
Autor:
Tom Mestdag, S. Hajdú
Publikováno v:
Analysis and Mathematical Physics
ANALYSIS AND MATHEMATICAL PHYSICS
ANALYSIS AND MATHEMATICAL PHYSICS
We introduce the notion of a nonlinear splitting on a fibre bundle as a generalization of an Ehresmann connection. We present its basic properties and we pay attention to the special cases of affine, homogeneous and principal nonlinear splittings. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e6f5e99a14ef3676d2a12611c4c32c5
https://repository.uantwerpen.be/docstore/d:irua:9560
https://repository.uantwerpen.be/docstore/d:irua:9560
Autor:
Willy Sarlet, Tom Mestdag
Publikováno v:
JOURNAL OF GEOMETRIC MECHANICS
Journal of Geometric Mechanics
Journal of Geometric Mechanics
The so-called method of phase synchronization has been advocated in a number of papers as a way of decoupling a system of linear second-order differential equations by a linear transformation of coordinates and velocities. This is a rather unusual ap
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57015bc37923a6f4414f96ead39c343c
https://biblio.ugent.be/publication/8728985
https://biblio.ugent.be/publication/8728985
Autor:
S. Hajdú, Tom Mestdag
Publikováno v:
MEDITERRANEAN JOURNAL OF MATHEMATICS
Mediterranean journal of mathematics
Mediterranean journal of mathematics
We investigate Jacobi fields and conjugate points in the context of sprays. We first prove that the conjugate points of a spray remain preserved under a projective change. Then, we establish conditions on the projective factor so that the projectivel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d6939811dd8ad250fb05d9fe48c6ede
https://biblio.ugent.be/publication/8710791
https://biblio.ugent.be/publication/8710791
Autor:
Tom Mestdag, S. Hajdú
Publikováno v:
International journal of geometric methods in modern physics
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
We recall the notion of Jacobi fields, as it was extended to systems of second-order ordinary differential equations. Two points along a base integral curve are conjugate if there exists a non-trivial Jacobi field along that curve that vanishes on bo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddb34c7d96affc49968467c57ae06151
http://arxiv.org/abs/1909.05012
http://arxiv.org/abs/1909.05012
Publikováno v:
Reports on mathematical physics
REPORTS ON MATHEMATICAL PHYSICS
REPORTS ON MATHEMATICAL PHYSICS
Extending a previous paper, we present a generalization in dimension 3 of the traditional Szebehely-type inverse problem. In that traditional setting, the data are curves determined as the intersection of two families of surfaces, and the problem is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::320093426d994f49ee045bd62124ca0f
https://hdl.handle.net/10067/1442290151162165141
https://hdl.handle.net/10067/1442290151162165141
Publikováno v:
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
The projective Finsler metrizability problem deals with the question whether a projective-equivalence class of sprays is the geodesic class of a (locally or globally defined) Finsler function. In this paper we use Hilbert-type forms to state a number
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a19f3c7af2dae932c77b2c7f5a19cdff
Publikováno v:
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
JOURNAL OF GEOMETRY AND PHYSICS
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
JOURNAL OF GEOMETRY AND PHYSICS
In this paper, we make a generalization of Routh's reduction method for Lagrangian systems with symmetry to the case where not any regularity condition is imposed on the Lagrangian. First, we show how implicit Lagrange-Routh equations can be obtained
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bba784aa7d4111ca50be663b38ab7c58
https://www.sciencedirect.com/science/article/pii/S0393044016300365
https://www.sciencedirect.com/science/article/pii/S0393044016300365
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
CONICET Digital (CONICET)
Consejo Nacional de Investigaciones Científicas y Técnicas
instacron:CONICET
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS
In this paper we consider an alternative approach to “un-reduction”. This is the process where one associates to a Lagrangian system on a manifold a dynamical system on a principal bundle over that manifold, in such a way that solutions project.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07c74e7e905939eabee6003da66861f4
https://hdl.handle.net/10067/1392640151162165141
https://hdl.handle.net/10067/1392640151162165141