Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"

A linear distribution on a vector bundle E is a double vector subbundle of TE. Such distribution has its counterpart on the dual bundle E*. Using techniques of double vector bundles we analyse properties of linear distributions essential for Lagrangian and Hamiltonian reductions (i.e. for E=TQ). It generalizes the framework for the Routh reduction.