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Pseudogroupes de lie transitifs, tome 1: Structures principales
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ISBN10: 2705659897
ISBN13: 9782705659899
Publisher: Hermann
Pages: 154
Weight: 0.47
Height: 0.33 Width: 6.00 Depth: 9.00
Language: French
ISBN13: 9782705659899
Publisher: Hermann
Pages: 154
Weight: 0.47
Height: 0.33 Width: 6.00 Depth: 9.00
Language: French
La Théorie des pseudogroupes de Lie remonte essentieélément à l'oeuvre d'Élie Cartan. Elle joue un rôle essentiel dans l'étude des structures géométriques différentiables (structures homogènes, structures complexes, feuilletages, etc.) et dans l'analyse globale sur les variétés, en particulier la présentation intrinsèque des systèmes d'équations aux dérivés partielles. En utilisant les notions d'espaces fibrés et de jets dues à Charles Ehresmann, les auteurs donnent une présentation moderne de ces Théories et font le point sur le problèmes d'équivalence; ils offrent ainsi un exposé général de la Théorie des pseudogroupes transitifs. Les notions présentées, qui ont leur intérêt propre, s'avèrent les outils de base de la géométrie différentielle contemporaine. Tome II. Théorèmes d'intégrabilité Le second volume est consacré au problème d'équivalence et donne une démonstration détaillée de deux résultats, dont l'un réalise un retour aux objectifs que fixaient la Théorie des pseudogroupes de Lie ses fondateurs, S. Lie et E. Cartan. Collection Travaux en Cours ISBN à 7056 6055 à - 13 euros.
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