On a theorem of Sikorav (Q1179593)
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scientific article; zbMATH DE number 24965
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a theorem of Sikorav |
scientific article; zbMATH DE number 24965 |
Statements
On a theorem of Sikorav (English)
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26 June 1992
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The author's summary: ``The author gives a new proof of Sikorav theorem [\textit{J.-C. Sikorav}, Comment. Math. Helv. 62, No. 1, 62-73 (1987; 684.58015)] which states the following: Let \(M\) be a closed manifold, let \[ \phi_ t: T^*M \to T^*M,\qquad t\in [0,1], \] be a Hamiltonian isotopy and let \(L\subset T^*M\) be an immersed Lagrangian submanifold with a generating function \(S:M\times R^ k\to R\) quadratic at infinity, then also \(\phi_t(L)\) has a generating function quadratic at infinity.''
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transversality
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Hamiltonian isotopy
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Lagrangian submanifold
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generating function
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