All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 27

Displaying 521 – 534 of 534

Showing per page

Symplectic Killing spinors

Svatopluk Krýsl (2012)

Commentationes Mathematicae Universitatis Carolinae

Let ( M , ω ) be a symplectic manifold admitting a metaplectic structure (a symplectic analogue of the Riemannian spin structure) and a torsion-free symplectic connection ∇ . Symplectic Killing spinor fields for this structure are sections of the symplectic spinor bundle satisfying a certain first order partial differential equation and they are the main object of this paper. We derive a necessary condition which has to be satisfied by a symplectic Killing spinor field. Using this condition one may easily...

Symplectic solution supermanifolds in field theory

Schmitt, T. (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

Summary: For a large class of classical field models used for realistic quantum field theoretic models, an infinite-dimensional supermanifold of classical solutions in Minkowski space can be constructed. This solution supermanifold carries a natural symplectic structure; the resulting Poisson brackets between the field strengths are the classical prototypes of the canonical (anti-) commutation relations. Moreover, we discuss symmetries and the Noether theorem in this context.

Symplectic spinor valued forms and invariant operators acting between them

Svatopluk Krýsl (2006)

Archivum Mathematicum

Exterior differential forms with values in the (Kostant’s) symplectic spinor bundle on a manifold with a given metaplectic structure are decomposed into invariant subspaces. Projections to these invariant subspaces of a covariant derivative associated to a torsion-free symplectic connection are described.

Systèmes dynamiques contraints : l'approche homologique

Michel Dubois-Violette (1987)

Annales de l'institut Fourier

On décrit une approche homologique des systèmes dynamiques contraints. Cette approche, directement inspirée des travaux de D. McMullan et de M. Henneaux concernant le formalisme de Batalin, Fradkin et Vilkovisky, contient une interprétation des fantômes et de leurs conjugués. Dans le cadre des systèmes dans l’espace des phases, la construction se fait en deux étapes. La première étape consiste à construire une algèbre différentielle graduée dont la cohomologie en degré zéro est l’espace des observables...

Systems of Clairaut type

Shyuichi Izumiya (1993)

Colloquium Mathematicae

A characterization of systems of first order differential equations with (classical) complete solutions is given. Systems with (classical) complete solutions that consist of hyperplanes are also characterized.

Systems of meromorphic microdifferential equations

Orlando Neto (1996)

Banach Center Publications

We introduce the notion of system of meromorphic microdifferential equations. We use it to prove a desingularization theorem for systems of microdifferential equations.

Currently displaying 521 – 534 of 534

Previous Page 27