The Arnold Chord Conjecture
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منابع مشابه
Ju l 2 00 4 A Proof On Generalized Arnold ’ s Chord Conjecture On Cotangent Bundles ∗
In this article, we prove that there exists at least one chord which is characteristic of Reeb vector field connecting a given Legendre sub-manifold in a contact manifolds of induced type in the cotangent bundles of any smooth open manifolds which confirms the generalized Arnold conjecture in cotangent bundles.
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In this article, we prove that there exists at least one chord which is characteristic of Reeb vector field connecting a given Legendre sub-manifold in a contact manifolds of induced type in the cotangent bundles of any smooth open manifolds which confirms the Arnold conjecture in cotangent bundles.
متن کاملA Proof On Arnold Chord Conjecture
In this article, we first prove that there exists a smooth foliation near codimension one skeleton which is transversal to the Reeb vector field on the contact manifold. Second, we use it to prove that there exists a smooth Poincare section for the Legendre submanifold. Third, we give a proof on the Arnold chord conjecture which states that every Reeb flow has at least as many Reeb chords as a ...
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Embedded contact homology (ECH) is a kind of Floer homology for contact three-manifolds. Taubes has shown that ECH is isomorphic to a version of Seiberg-Witten Floer homology (and both are conjecturally isomorphic to a version of Heegaard Floer homology). This isomorphism allows information to be transferred between topology and contact geometry in three dimensions. In the present article we fi...
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In this article, we prove that there exists at least one chord orbit of Hamilton vector field connecting the Legendre submanifold on a given energy stable hypersurface in some symplectic manifolds. Démonstration de existence de chord orbital de hamiltonien en une stable hypersurface dans une variété symplectique. Résumé. Soit Σ une hypersurface close en variété symplectique, Il est de montrer q...
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تاریخ انتشار 2011