Applications of convex integration to symplectic and contact geometry
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Publication:1062328
DOI10.5802/aif.1079zbMath0572.58010OpenAlexW2318097070MaRDI QIDQ1062328
Publication date: 1987
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_1_107_0
Integration on manifolds; measures on manifolds (58C35) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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Cites Work
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- Examples of symplectic structures
- Examples of simply-connected symplectic non-Kählerian manifolds
- Pseudo holomorphic curves in symplectic manifolds
- A proof of Weinstein's conjecture in \(\mathbb R^{2n}\)
- Forme de contact sur la somme connexe de deux variétés de contact de dimension impaire
- Cycles for the dynamical study of foliated manifolds and complex manifolds
- On the hypotheses of Rabinowitz' periodic orbit theorems
- Convex integration of nonlinear systems of partial differential equations
- Feuilletages sur les variétés ouvertes
- Some Canonical Cohomology Classes on Groups of Volume Preserving Diffeomorphisms
- Local homology of groups of volume preserving diffeomorphisms. I
- Partial Differential Relations
- Diffeomorphisms and Volume-Preserving Embeddings of Noncompact Manifolds
- On the Existence of Contact Forms
- Shorter Notes: Some Simple Examples of Symplectic Manifolds
- A classifying space for the contact pseudogroup
- On Groups of Volume-Preserving Diffeomorphisms and Foliations with Transverse Volume Form
- CONVEX INTEGRATION OF DIFFERENTIAL RELATIONS. I
- On the Volume Elements on a Manifold
