paper

A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory

arXiv:1408.3707 · doi:10.1007/s10231-014-0471-x

Abstract

We prove a quantitative openness theorem for submersions under suitable assumptions on the differential. We then apply our result to a class of exponential maps appearing in Carnot-Carathéodory spaces and we improve a classical completeness result by Palais.

12 pages. Revised version. Minor changes. To appear on Annali di Matematica

A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory · wovepaper