A Hadamard-type open map theorem for submersions and applications to completeness results in Control Theory
classification
🧮 math.CA
math.DG
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completenessresultsubmersionstheoremappearingapplicationsapplyassumptions
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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-Carath\'eodory spaces and we improve a classical completeness result by Palais.
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