Integrable Systems and Foliations: Feuilletages Et Systèmes Intégrables

ISBN-13: 9780817638948 / Angielski / Twarda / 1997 / 214 str.

Claude Albert; Robert Brouzet; Jean P. Dufour

Opis

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.

Spis treści

Orbites des structures rigides (d’après M. Gromov).- On the Betti Numbers of Nilpotent Lie Algebras of Small Dimension.- Réalisations feuilletées de quelques pseudogroupes.- A Morse Theoretic Proof of Poisson Lie Convexity.- Sur l’uniformisation des laminations paraboliques.- Extensions essentielles privilégiées d’algèbres de Lie classiques de dimension infinie.- Holonomy Groups of Solvable Lie Foliations.- On the Weak Homotopy Type of Étale Groupoids.- Classification globale des formes différentielles transitives sur la sphère S5.- A Lecture on Poisson—Nijenhuis Structures.- Integrable Hamiltonian Systems Associated to Families of Curves and Their Bi-Hamiltonian Structure.

Blurb

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.