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Autor Aguirre Dabán, Eduardo |
Documentos disponibles escritos por este autor (13)
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Using the formalism of symplectic group actions and coadjoint orbits, we give a complete list of all classical simple Lie algebras which are local symmetries for a given Hamiltonian vector field.texto impreso
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A general framework for analyzing the cosmological redshift in conformal spacetimes is developed here. Application to the cosmological model of I.E. Segal is made. Contrarily to Segal's claim, there seems to be no redshift in this modeltexto impreso
Aguirre Dabán, Eduardo ; Sánchez Rodríguez, Ignacio | Centro de Matematica da Universidade do Minho | 1998Jet lifts of groups of matrices enter into play when one studies the problem of integrability of G-structures as it was posed by V. Guillemin in his seminal work [Trans. Amer. Math. Soc. 116 (1965), 544–560;]. The authors of the present paper an[...]texto impreso
This note is derived from lectures on cosmology given at the Complutense University of Madrid, basically aimed at a mathematical audience. The author derives the geometrical properties of a cosmological model from a set of seven postulates H1 t[...]texto impreso
We obtain the first integrals Tr(Rk) by using a differential equation of the Lax type of simpler structure than the one obtained in a recent paper. Certain questions raised in this paper on the relation between noncanonical symmetries S and comp[...]texto impreso
This paper discusses the structure equations of connections on the principal bundle F2M of second-order holonomic frames of a differentiable manifold M. Use is made of the natural embedding of F2M into the bundle F(FM) of second-order nonholonom[...]texto impreso
Physical reasons suggested in [J.B. Hartle, S.W. Hawking, Wave function of the universe, Phys. Rev. D41 (1990) 1815-1834] for the Quantum Gravity Problem lead us to study type-changing metrics on a manifold. The most interesting cases are Transv[...]texto impreso
Aguirre Dabán, Eduardo ; Fernández Mateos, Victor ; Lafuente López, Javier | Real Sociedad Matemática Española | 2007Let M be a connected manifold and let g be a symmetric covariant tensor field of order 2 on M. Assume that the set of points where g degenerates is not empty. If U is a coordinate system around p 2 , then g is a transverse type-changing metric [...]texto impreso
González Gascón, Francisco ; Ramos, F.B. ; Aguirre Dabán, Eduardo | American Institute of Physics | 1982It is shown that any first integral of type P2()—a polynomial of degree 2 in —of the differential equation =Vx can be obtained from a pointlike gauge symmetry of the action AL associated to L= 1/2 2+V(t,x). The same result holds for any first in[...]texto impreso
The principal series of the unitary irreducible representations of the noncompact symplectic groupSp 1,1 are constructed using a generalization to the quaternionic field of Grave’s paper onU p,q . The spectra of these representations are explici[...]texto impreso
A topological description of the stable causality condition on a spacetime is given. The structure of the subsets that, for a given point, control the fulfillment of strong and stable causality conditions at that point are studied. Separation pr[...]texto impreso
Consider a smooth manifold with a smooth metric which changes bilinear type on a hypersurface ? and whose radical line field is everywhere tangent to ?. We describe two natural tensors on ? and use them to describe “integrability conditions” whi[...]