Skew-symmetric vector fields on a CR-submanifold of a para-Kählerian manifold (Q1774680)
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scientific article; zbMATH DE number 2168629
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Skew-symmetric vector fields on a CR-submanifold of a para-Kählerian manifold |
scientific article; zbMATH DE number 2168629 |
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Skew-symmetric vector fields on a CR-submanifold of a para-Kählerian manifold (English)
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18 May 2005
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Summary: We deal with a CR-submanifold \(M\) of a para-Kählerian manifold \(\widetilde{M}\), which carries a \(J\)-skew-symmetric vector field \(X\). It is shown that \(X\) defines a global Hamiltonian of the symplectic form \(\Omega\) on \(M^{\top}\) and \(JX\) is a relative infinitesimal automorphism of \(\Omega\). Other geometric properties are given.
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\(J\)-skew-symmetric vector field
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Hamiltonian
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