6 papers · 1 filter
The Poincaré-Cartan Form in Superfield Theory
Juan Monterde, Jaime Muñoz-Masqué, José Antonio Vallejo
An intrinsic description of the Hamilton-Cartan formalism for first-order Berezinian variational problems determined by a submersion of supermanifolds is given. This is achieved by…
Poisson brackets of even symplectic forms on the algebra of differential forms
Juan Monterde, José Antonio Vallejo
Given a symplectic form and a pseudo-riemannian metric on a manifold, a non degenerate even Poisson bracket on the algebra of differential forms is defined and its properties are s…
Supersymmetric sigma models and harmonic superfunctions
Jaime Muñoz-Masqué, José Antonio Vallejo
We study the relation between the Laplacian associated to an odd metric on a supermanifold and harmonic superfunctions, through the application of the calculus of variations to a s…
Composition operators on weighted spaces of holomorphic functions on triples
Michael Mackey, Pablo Sevilla-Peris, José A. Vallejo
We characterise continuity of composition operators on weighted spaces of holomorphic functions , where is the open unit ball of a Banach space which is homog…
Non inertial dynamics and holonomy on the ellipsoid
José Antonio Vallejo
Traditionally, the discussion about the geometrical interpretation of inertial forces is reserved for General Relativity handbooks. In these notes an analysis of the effect of such…
Generating Operators of the Krasil'shchik-Schouten bracket
J. A. Vallejo
It is proved that given a divergence operator on the structural sheaf of graded commutative algebras of a supermanifold, it is possible to construct a generating operator for the K…