Applications of Nijenhuis geometry: non-degenerate singular points of Poisson–Nijenhuis structures
Alexey V. Bolsinov, Andrey Yu. Konyaev, Vladimir S. Matveev
Abstract
Abstract We study and completely describe pairs of compatible Poisson structures near singular points of the recursion operator satisfying natural non-degeneracy condition.
Topics & Concepts
MathematicsOperator (biology)Recursion (computer science)Pure mathematicsPoint (geometry)Mathematical analysisSingular point of a curveSingularityPoisson distributionAlgebra over a fieldCalculus (dental)Singular valueType (biology)Homotopy and Cohomology in Algebraic TopologyGeometry and complex manifoldsHolomorphic and Operator Theory