Symplectic capacity and the Weinstein conjecture in certain cotangent bundles and Stein manifolds
Identifieur interne : 001B73 ( Main/Curation ); précédent : 001B72; suivant : 001B74Symplectic capacity and the Weinstein conjecture in certain cotangent bundles and Stein manifolds
Auteurs : Ma Renyi [République populaire de Chine]Source :
- Nonlinear Differential Equations and Applications NoDEA [ 1021-9722 ] ; 1995-09-01.
English descriptors
- KwdEn :
- Certain cotangent bundles, Compact hypersurface, Compact manifold, Complex structure, Complex structures, Conjecture, Contact boundary, Contact type, Contact type boundary, Contractible space, Cotangent, Cotangent bundle, Cotangent bundles, Energy surface, Floer homology, Hamiltonian, Hamiltonian dynamics, Hamiltonian systems, Hofer, Holomorphic, Holomorphic curves, Holomorphic spheres, Hypersurface, Lagrangian intersections, Manifold, Morse theory, Nodea, Open manifold, Open symplectic manifold, Periodic orbits, Periodic solutions, Pseudoholomorphic curves, Reeb vector field, Regular energy surface, Regular value, Renyi, Smooth boundary, Smooth manifold, Stein manifold, Stein manifolds, Symplectic, Symplectic capacity, Symplectic embedding, Symplectic manifold, Symplectic manifolds, Symplectic structure, Symplectic topology, Viterbo, Weinstein, Weinstein conjection, Weinstein conjecture, Zehnder.
- Teeft :
- Certain cotangent bundles, Compact hypersurface, Compact manifold, Complex structure, Complex structures, Conjecture, Contact boundary, Contact type, Contact type boundary, Contractible space, Cotangent, Cotangent bundle, Cotangent bundles, Energy surface, Floer homology, Hamiltonian, Hamiltonian dynamics, Hamiltonian systems, Hofer, Holomorphic, Holomorphic curves, Holomorphic spheres, Hypersurface, Lagrangian intersections, Manifold, Morse theory, Nodea, Open manifold, Open symplectic manifold, Periodic orbits, Periodic solutions, Pseudoholomorphic curves, Reeb vector field, Regular energy surface, Regular value, Renyi, Smooth boundary, Smooth manifold, Stein manifold, Stein manifolds, Symplectic, Symplectic capacity, Symplectic embedding, Symplectic manifold, Symplectic manifolds, Symplectic structure, Symplectic topology, Viterbo, Weinstein, Weinstein conjection, Weinstein conjecture, Zehnder.
Abstract
Abstract: We use the method proposed by H. Hofer. and C. Viterbo in [18] to calculate the Hofer-Zehnder capacity and prove the Weinstein conjecture in certain cotangent bundles and Stein manifolds.
Url:
DOI: 10.1007/BF01261180
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<term>Compact hypersurface</term>
<term>Compact manifold</term>
<term>Complex structure</term>
<term>Complex structures</term>
<term>Conjecture</term>
<term>Contact boundary</term>
<term>Contact type</term>
<term>Contact type boundary</term>
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<term>Cotangent</term>
<term>Cotangent bundle</term>
<term>Cotangent bundles</term>
<term>Energy surface</term>
<term>Floer homology</term>
<term>Hamiltonian</term>
<term>Hamiltonian dynamics</term>
<term>Hamiltonian systems</term>
<term>Hofer</term>
<term>Holomorphic</term>
<term>Holomorphic curves</term>
<term>Holomorphic spheres</term>
<term>Hypersurface</term>
<term>Lagrangian intersections</term>
<term>Manifold</term>
<term>Morse theory</term>
<term>Nodea</term>
<term>Open manifold</term>
<term>Open symplectic manifold</term>
<term>Periodic orbits</term>
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<term>Pseudoholomorphic curves</term>
<term>Reeb vector field</term>
<term>Regular energy surface</term>
<term>Regular value</term>
<term>Renyi</term>
<term>Smooth boundary</term>
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<term>Stein manifold</term>
<term>Stein manifolds</term>
<term>Symplectic</term>
<term>Symplectic capacity</term>
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<term>Symplectic manifolds</term>
<term>Symplectic structure</term>
<term>Symplectic topology</term>
<term>Viterbo</term>
<term>Weinstein</term>
<term>Weinstein conjection</term>
<term>Weinstein conjecture</term>
<term>Zehnder</term>
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<term>Complex structures</term>
<term>Conjecture</term>
<term>Contact boundary</term>
<term>Contact type</term>
<term>Contact type boundary</term>
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<term>Hamiltonian systems</term>
<term>Hofer</term>
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<term>Open symplectic manifold</term>
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<term>Periodic solutions</term>
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<term>Reeb vector field</term>
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<term>Smooth manifold</term>
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<term>Symplectic manifolds</term>
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<term>Symplectic topology</term>
<term>Viterbo</term>
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<front><div type="abstract" xml:lang="en">Abstract: We use the method proposed by H. Hofer. and C. Viterbo in [18] to calculate the Hofer-Zehnder capacity and prove the Weinstein conjecture in certain cotangent bundles and Stein manifolds.</div>
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