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

Autor:	Annamaria Montanari, Daniele Morbidelli, Andrea Bonfiglioli
Přispěvatelé:	Bonfiglioli, Andrea, Montanari, Annamaria, Morbidelli, Daniele
Rok vydání:	2014
Předmět:	Mathematics - Differential Geometry Pure mathematics Moore–Penrose pseudoinverse Mathematics::Analysis of PDEs 01 natural sciences Complete vector field Hadamard inverse map theorem Hadamard transform Classical Analysis and ODEs (math.CA) FOS: Mathematics Mathematics::Metric Geometry Submersion 0101 mathematics Mathematics Mathematics::Complex Variables Applied Mathematics 010102 general mathematics Primary: 17B66 Secondary: 34H05 58C25 Involutive vector field Open and closed maps Exponential function 010101 applied mathematics Differential Geometry (math.DG) Mathematics - Classical Analysis and ODEs Mathematics::Differential Geometry
Zdroj:	Annali di Matematica Pura ed Applicata (1923 -). 195:445-458
ISSN:	1618-1891 0373-3114
Popis:	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. Comment: 12 pages. Revised version. Minor changes. To appear on Annali di Matematica
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21edbacc875d1b0554a2e516469525a4 https://doi.org/10.1007/s10231-014-0471-x Zobrazit plný text záznamu Full text from SpringerLink