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. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 1618-1891. - STAMPA. - 195:2(2016), pp. 445-458. [10.1007/s10231-014-0471-x]
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.File in questo prodotto:
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