Ebook: Integrable Systems and Foliations: Feuilletages et Systèmes Intégrables

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.

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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.

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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.

Content:
Front Matter....Pages i-x
Orbites des structures rigides (d’apr?s M. Gromov)....Pages 1-17
On the Betti Numbers of Nilpotent Lie Algebras of Small Dimension....Pages 19-31
R?alisations feuillet?es de quelques pseudogroupes....Pages 33-48
A Morse Theoretic Proof of Poisson Lie Convexity....Pages 49-71
Sur l’uniformisation des laminations paraboliques....Pages 73-91
Extensions essentielles privil?gi?es d’alg?bres de Lie classiques de dimension infinie....Pages 93-106
Holonomy Groups of Solvable Lie Foliations....Pages 107-146
On the Weak Homotopy Type of ?tale Groupoids....Pages 147-156
Classification globale des formes diff?rentielles transitives sur la sph?re S5 ....Pages 157-168
A Lecture on Poisson—Nijenhuis Structures....Pages 169-185
Integrable Hamiltonian Systems Associated to Families of Curves and Their Bi-Hamiltonian Structure....Pages 187-212
Back Matter....Pages 213-214

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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.

Content:
Front Matter....Pages i-x
Orbites des structures rigides (d’apr?s M. Gromov)....Pages 1-17
On the Betti Numbers of Nilpotent Lie Algebras of Small Dimension....Pages 19-31
R?alisations feuillet?es de quelques pseudogroupes....Pages 33-48
A Morse Theoretic Proof of Poisson Lie Convexity....Pages 49-71
Sur l’uniformisation des laminations paraboliques....Pages 73-91
Extensions essentielles privil?gi?es d’alg?bres de Lie classiques de dimension infinie....Pages 93-106
Holonomy Groups of Solvable Lie Foliations....Pages 107-146
On the Weak Homotopy Type of ?tale Groupoids....Pages 147-156
Classification globale des formes diff?rentielles transitives sur la sph?re S5 ....Pages 157-168
A Lecture on Poisson—Nijenhuis Structures....Pages 169-185
Integrable Hamiltonian Systems Associated to Families of Curves and Their Bi-Hamiltonian Structure....Pages 187-212
Back Matter....Pages 213-214
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