We prove a quantitative openness theorem for C^1 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.

A Hadamard-type open map theorem for submersions and applications to completeness results in control theory

BONFIGLIOLI, ANDREA;MONTANARI, ANNAMARIA;MORBIDELLI, DANIELE
2016

Abstract

We prove a quantitative openness theorem for C^1 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.
Bonfiglioli, Andrea; Montanari, Annamaria; Morbidelli, Daniele
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11585/544636
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