Singular cosphere bundle reduction

Abstract

This paper studies singular contact reduction for cosphere bundles at the zero value of the momentum map. A stratification of the singular quotient, finer than the contact one and better adapted to the bundle structure of the problem, is obtained. The strata of this new stratification are a collection of cosphere bundles and coisotropic or Legendrian submanifolds of their corresponding contact components.

26 pages, two figures

References in corpus (2)

• On the geometry of reduced cotangent bundles at zero momentum
• The Topological Structure of Contact and Symplectic Quotients