Showing papers in "Journal of Geometry and Physics in 1984"

TL;DR: In this paper, it has been shown that a unique Poincare-Cartan form can be determined by means of a simple additional structure -a linear symmetric connection on the base manifold X → X (or more generally by a convenient splitting S).

TL;DR: The York mapping from the space of freely chosen conformal data to the constraint-satisfying physical data is shown to be a canonical transformation for both the vacuum Einstein theory and the Einstein-Maxwell theory as mentioned in this paper.

TL;DR: There are two inequivalent ways in which the laws of physics in a gravitational field can be related to the laws in an inertial frame, when quantum mechanical effects are taken into account as mentioned in this paper.

TL;DR: In this article, the authors show how to construct analytic solutions of the vacuum Einstein equations having a compact Cauchy horizon diffeomorphic to S3 and ruled by closed null generators which fiber the horizon in the sense of Hopf.

TL;DR: In this paper, a simple formula is derived for the infinitesimal change of the Hodge dual of a k-form induced by a deformation of the scalar product in the underlying vector space.

TL;DR: In this article, the authors present classical solutions of two-dimensional Euclidean Grassmannian σ models (harmonic maps) and discuss some of their properties, including their properties in terms of noise.

TL;DR: Some aspects of the geometry of gauge theories are sketched in this paper, where the authors deal essentially with Yang-Mills theory, discussing the structure of the space of gauge orbits and the geometrical interpretation of ghosts and anomalies.

TL;DR: The following topics are discussed in this article : G-invariant Riemannian metrics and principal connections, dimensional reduction of Einstein and Yang-Mills systems, curvature of coset spaces, dimension reduction of spinors, geometrical interpretation of color and Higgs charges.

TL;DR: The theoretical point of view developed by Y. Avron and myself [1,2,3] is mainly the one developed by as discussed by the authors and is based on some work together with M. Klein [4].

TL;DR: In this paper, it was shown that the Yang-Mills equations are equivalent to the existence of flat connections in affine subspaces of connections on some vector bundles, i.e., they may be written as zero-curvature conditions.

TL;DR: In this paper, the motion of a charged particle in the field of a Dirac monopole is studied in a geometrical framework, and the relation of the two formalisms is explained in detail.

TL;DR: In this article, an inverse sequence of Poisson spaces, determined by a Kac-Moody Lie algebra, is introduced to define completely integrable systems of P.D.E.

TL;DR: In this article, the authors studied the correspondence between generating functions of linear symplectic relations and kernels of integral operators of quantum theories, and showed that these kernels can be obtained from linear nonlinear relations generated by quadratic functions.

TL;DR: In this paper, a supermanifold, M m n, can be caracterired by its smooth superfunctions which constitute an algebra A (Leites, Kostant).

TL;DR: The classical SO (3)-invariant σ-model and its suitably generalized versions are studied from the geometrical point of view in this article, where known mathematical results concerning harmonic and holomorphic maps of a Riemann surface into the n-dimensional complex projective space are briefly reviewed.

TL;DR: In this paper, the interpretation of θ-theories in terms of multivalued wave functions is given, where the interpretation is based on the multivalent wave functions of the wave functions.

TL;DR: In this article, the authors discover the entire class for the real Klein-Gordon field, and find that each dynamic form is equivalent to a Noetherian form, that is, a form based on a canonical symmetry.

TL;DR: In this article, the authors show that l'espace des mouvements U des systemes dynamiques massifs isoles of type S2 est symplectomorphe a la variete: S2 x [ U /SO(3)].