A Frobenius-type theorem for singular Lipschitz distributions

Abstract

We prove a Frobenius-type theorem for singular distributions generated by a family of locally Lipschitz continuous vector fields satisfying almost everywhere a quantitative finite type condition.

References in corpus (3)

• Almost exponential maps and integrability results for a class of horizontally regular vector fields
• Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields
• Step-s involutive families of vector fields, their orbits and the Poincaré inequality

Cited by in corpus (2)

• Almost exponential maps and integrability results for a class of horizontally regular vector fields
• Integral representation for bracket-generating multi-flows