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On N(k)-Contact Metric Manifolds
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Extended Hamilton-Jacobi theory, contact manifolds, and integrability by quadratures
(American Institute of Physics, 2020-01)
A Hamilton-Jacobi theory for general dynamical systems, defined on fibered phase spaces, has been recently developed. In this paper, we shall apply such a theory to contact Hamiltonian systems, as those appearing in ...
The canonical contact structure on the space of oriented null geodesics of pseudospheres and products
(de Gruyter, 2013-10)
Let Sk,m be the pseudosphere of signature (k,m). We show that the space ℒ0(Sk,m) of all oriented null geodesics in Sk,m is a manifold, and we describe geometrically its canonical contact distribution in terms of the space ...
Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold
(Cartagena de IndiasCampus Tecnológico, 2020-12)
A contact structure on a three-dimensional manifold is a two-dimensional distribution on this manifold which satisfies the condition of complete non-integrability. If the distribution fails to satisfy this condition at ...
Identification of shock profile solutions for bidisperse suspensions
(SPRINGER HEIDELBERG, 2016)
El problema de equivalencia y la prolongación de Tanaka para distribuciones totalmente no integrables
(2015-04)
Esta tesis trata del Problema de Equivalencia para distribuciones y estructuras geométricas asociadas, o sub-estructuras. Repasamos el método de equivalencia de Cartan y lo comparamos con el Método de Prolongación de Tanaka, ...
3-manifolds in Euclidean space from a contact viewpoint
(INT PRESS BOSTON, INC, 2009)
We study the geometry of 3-manifolds generically embedded in R(n) by means of the analysis of the singularities of the distance-squared and height functions on them. We describe the local structure of the discriminant ...
Regular general contact manifolds.
(SABER ULA, 2005)
Symmetries and reductions of Dirac-Jacobi structures
(Universidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2021-10-04)
In this manuscript we study reductions of Dirac-Jacobi structures on a smooth manifold under the presence of symmetries given by the action of a connected Lie group. The main tools we used are the called "homogenization ...