45 citations · 60 across the 11 of their papers we have counts for
11 papers
Bezier surfaces with prescribed diagonals
A. Arnal, J. Monterde
The affine space of all tensor product Bézier patches of degree nxn with prescribed main diagonal curves is determined. First, the pair of Bézier curves which can be diagonals of a…
Constant angle surfaces in 4-dimensional Minkowski space
Pierre Bayard, Juan Monterde, Raúl C. Volpe
We first define a complex angle between two oriented spacelike planes in 4-dimensional Minkowski space, and then study the constant angle surfaces in that space, i.e. the oriented…
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…
Modular class of even symplectic manifolds
Juan Monterde, José Antonio Vallejo
We provide an intrinsic description of the notion of modular class for an even symplectic manifold and study its properties in this coordinate free setting.
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…
Supermanifolds, symplectic geometry and curvature
Rosalía Hernández-Amador, Juan Monterde, José A Vallejo
We present a survey of some results and questions related to the notion of scalar curvature in the setting of symplectic supermanifolds.