Claude Albert

Integrable Systems and Foliations: Feuilletages et Systemes Integrables - Progress in Mathematics Claude Albert Softcover Reprint of the Original 1st Ed. 1997 edition

Jacket Description/Back: The articles in this volume are an outgrowth of a colloquium "Systemes Integrables et Feuilletages," which was held in honor of the sixtieth birthday of Pierre Molino. The topics cover the broad range of mathematical areas which were of keen interest to Molino, namely, integral systems and more generally symplectic geometry and Poisson structures, foliations and Lie transverse structures, transitive structures, and classification problems. Contributors to the volume include: Y. Benoist, G. Cairns, V. Cavalier, H. Flaschka, E. Ghys, A. Haefliger, B. Jessup, A. Lichnerowicz, G. Meigniez, I. Moerdijk, J. Pitkethly, T. Ratiu, J. Turiel, I. Vaisman, and P. Vanhaechke. Table of Contents: Orbites des structures rigides (d apres M. Gromov).- On the Betti Numbers of Nilpotent Lie Algebras of Small Dimension.- Realisations feuilletees de quelques pseudogroupes.- A Morse Theoretic Proof of Poisson Lie Convexity.- Sur l uniformisation des laminations paraboliques.- Extensions essentielles privilegiees d algebres de Lie classiques de dimension infinie.- Holonomy Groups of Solvable Lie Foliations.- On the Weak Homotopy Type of Etale Groupoids.- Classification globale des formes differentielles transitives sur la sphere S5.- A Lecture on Poisson Nijenhuis Structures.- Integrable Hamiltonian Systems Associated to Families of Curves and Their Bi-Hamiltonian Structure."