Skew-symmetric vector fields on a CR -submanifold of a para-Kählerian manifold

Adela Mihai and Radu Rosca

International Journal of Mathematics and Mathematical Sciences, 2004, vol. 2004, 1-6

Abstract:

We deal with a CR -submanifold M of a para-Kählerian manifold M ˜ , which carries a J -skew-symmetric vector field X . It is shown that X defines a global Hamiltonian of the symplectic form Ω on M ⊤ and J X is a relative infinitesimal automorphism of Ω . Other geometric properties are given.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:658180

DOI: 10.1155/S0161171204307143

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