0000000000049182

AUTHOR

J. V. Beltran

showing 4 related works from this author

Bézier Solutions of the Wave Equation

2004

We study polynomial solutions in the Bezier form of the wave equation in dimensions one and two. We explicitly determine which control points of the Bezier solution at two different times fix the solution.

PolynomialComputer Science::GraphicsComputer Science::MultimediaControl pointApplied mathematicsBézier curveComputer Science::Computational GeometryBiharmonic Bézier surfaceWave equationBernstein polynomialMathematics
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A Characterization of Quintic Helices

2005

A polynomial curve of degree 5, @a, is a helix if and only if both @[email protected]^'@? and @[email protected]^'@[email protected]^''@? are polynomial functions.

PolynomialTheorem of LancreteducationComputingMilieux_LEGALASPECTSOFCOMPUTINGCharacterization (mathematics)behavioral disciplines and activitiesMathematics::Algebraic TopologyCombinatoricsMathematics - Geometric TopologyTheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITYhealth services administrationComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONFOS: Mathematicshealth care economics and organizationsMathematicsPhysics::Biological PhysicsQuantitative Biology::BiomoleculesDegree (graph theory)InformationSystems_INFORMATIONSYSTEMSAPPLICATIONSApplied MathematicsMathematical analysisGeometric Topology (math.GT)Pythagorean hodograph curveshumanitiesQuintic functionComputational MathematicsGeneralized polynomial helices
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Graded Poisson structures on the algebra of differential forms

1995

We study the graded Poisson structures defined on Ω(M), the graded algebra of differential forms on a smooth manifoldM, such that the exterior derivative is a Poisson derivation. We show that they are the odd Poisson structures previously studied by Koszul, that arise from Poisson structures onM. Analogously, we characterize all the graded symplectic forms on ΩM) for which the exterior derivative is a Hamiltomian graded vector field. Finally, we determine the topological obstructions to the possibility of obtaining all odd symplectic forms with this property as the image by the pullback of an automorphism of Ω(M) of a graded symplectic form of degree 1 with respect to which the exterior der…

Mathematics::Commutative AlgebraGeneral MathematicsMathematics::Rings and AlgebrasMathematical analysisGraded ringGraded Lie algebraFrölicher–Nijenhuis bracketAlgebraPoisson bracketDifferential graded algebraExterior derivativeMathematics::Symplectic GeometryFirst class constraintMathematicsPoisson algebraCommentarii Mathematici Helvetici
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Poisson-Nijenhuis structures and the Vinogradov bracket

1994

We express the compatibility conditions that a Poisson bivector and a Nijenhuis tensor must fulfil in order to be a Poisson-Nijenhuis structure by means of a graded Lie bracket. This bracket is a generalization of Schouten and Frolicher-Nijenhuis graded Lie brackets defined on multivector fields and on vector valued differential forms respectively.

Schouten–Nijenhuis bracketGraded Lie algebraAlgebraFrölicher–Nijenhuis bracketPoisson bracketAdjoint representation of a Lie algebraNonlinear Sciences::Exactly Solvable and Integrable SystemsMathematics::Quantum AlgebraPoisson manifoldLie bracket of vector fieldsLie derivativeMathematics::Differential GeometryGeometry and TopologyMathematics::Symplectic GeometryAnalysisMathematicsAnnals of Global Analysis and Geometry
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