EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 50(64) Preimenovati datoteke, proveriti paginaciju!!!, pp. 166--169 (1991)

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Symplectic and cosymplectic foliations on cosymplectic manifolds

Domingo Chinea, Manuel de León, and Juan C. Marrero

Domingo Chinea\hfill{Received 25 07 1990} Departamento de Matemática Fundamental, Universidad de La Laguna, La Laguna, Tenerife, Canary Islands, Spain \msk Manuel de León Unidad de Matemáticas, Consejo Superior de Investigaciones Científicas, Serrano, 123, 28006 Madrid, Spain \msk Juan C. Marrero Departamento de Matemática Fundamental, Universidad de La Laguna, La Laguna, Tenerife, Canary Islands, Spain

Abstract: We prove that a compact symplectic or cosymplectic foliation on a cosymplectic manifold is stable. This result extends to the odd-dimensional case the corresponding one for symplectic foliations on symplectic manifolds. A large family of examples is given.

Keywords: Symplectic and cosymplectic foliations, cosymplectic manifolds, stability of foliations

Classification (MSC2000): 53C15, 57R30

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition