Invariants for the Lagrangian equivalence problem

Autor: J. Muñoz Masqué, M. Castrillón López, E. Rosado María

Publikováno v: Journal of Mathematical Analysis and Applications. 458:419-435

Let M be a connected smooth manifold, let Aut ( p ) be the group automorphisms of the bundle p : R × M → R , and let q : J 1 ( R , M ) × R → J 1 ( R , M ) be the canonical projection. Invariant functions on J r ( q ) under the natural action of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6a45618473f5bc32845641fb8cc96b8f
https://doi.org/10.1016/j.jmaa.2017.08.057

Four-dimensional naturally reductive pseudo-Riemannian spaces

Autor: M. Castrillón López, E. Rosado María, Wafaa Batat

Publikováno v: Differential Geometry and its Applications. 41:48-64

The classification of 4-dimensional naturally reductive pseudo-Riemannian spaces is given. This classification comprises symmetric spaces, the product of 3-dimensional naturally reductive spaces with the real line and new families of indecomposable m

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2102e65df75f263f61551a655d3a6520
https://doi.org/10.1016/j.difgeo.2015.04.004

Geometric characteristics of conics in Bézier form

Autor: Leonardo Fernández-Jambrina, A. Cantón, E. Rosado María

Publikováno v: 1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies | 1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies | 06/06/2012-08/06/2012 | Lieja, Bélgica
Archivo Digital UPM
Universidad Politécnica de Madrid
Proceedings of the 25th SIAM Conference on Geometric and Physical Modeling | 25th SIAM Conference on Geometric and Physical Modeling | 24/10/2011-27/10/2011 | Orlando, Estados Unidos de América
Computer-Aided Design, ISSN 0010-4485, 2011-11, Vol. 43, No. 11

In this paper, we address the calculation of geometric characteristics of conic sections (axes, asymptotes, centres, eccentricity, foci) given in Bezier form in terms of their control polygons and weights, making use of real and complex projective an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7cc830a9c596a4068a3bac23b2ed00c
https://doi.org/10.1016/j.cad.2011.08.025

Geometric elements and classification of quadrics in rational B\'ezier form

Autor: Leonardo Fernández-Jambrina, M.J. Vázquez-Gallo, Alicia Cantón, E. Rosado María

In this paper we classify and derive closed formulas for geometric elements of quadrics in rational B\'ezier triangular form (such as the center, the conic at infinity, the vertex and the axis of paraboloids and the principal planes), using just the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aacf9282d2c52be79899f98d6b033aa3
http://arxiv.org/abs/1506.00967

Integrability of second-order Lagrangians admitting a first-order Hamiltonian formalism

Autor: J. Muñoz Masqué, E. Rosado María

Publikováno v: Differential Geometry and its Applications, ISSN 0926-2245, 2014-09, No. 35
Archivo Digital UPM
instname

Second-order Lagrangian densities admitting a first-order Hamiltonian formalism are studied; namely, i) necessary and sufficient conditions for the Poincaré–Cartan form of a second-order Lagrangian on an arbitrary fibred manifold p : E → N to be

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ae0c9698a09ac1f5c8cf8684d603ba15
https://oa.upm.es/40055/