On a class of exact locally conformal cosymlectic manifolds
An almost cosymplectic manifold M is a (2m+1)-dimensional oriented Riemannian manifold endowed with a 2-form Ω of rank 2m, a 1-form η such that Ωm Λ η≠0 and a vector field ξ satisfying iξΩ=0 and η(ξ)=1. Particular cases were considered in [3] and [6].
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000373 |
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| _version_ | 1849412284385853440 |
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| author | I. Mihai L. Verstraelen R. Rosca |
| author_facet | I. Mihai L. Verstraelen R. Rosca |
| author_sort | I. Mihai |
| collection | DOAJ |
| description | An almost cosymplectic manifold M is a (2m+1)-dimensional oriented Riemannian
manifold endowed with a 2-form Ω of rank 2m, a 1-form η such that Ωm Λ η≠0 and a vector field ξ
satisfying iξΩ=0 and η(ξ)=1. Particular cases were considered in [3] and [6]. |
| format | Article |
| id | doaj-art-63b077e4b40e44419f67fd2190cae8c0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-63b077e4b40e44419f67fd2190cae8c02025-08-20T03:34:29ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119226727810.1155/S0161171296000373On a class of exact locally conformal cosymlectic manifoldsI. Mihai0L. Verstraelen1R. Rosca2Department Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, Leuven B – 3000, BelgiumDepartment Wiskunde, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, Leuven B – 3000, Belgium59 Avenue Emile Zola, Paris 75015, FranceAn almost cosymplectic manifold M is a (2m+1)-dimensional oriented Riemannian manifold endowed with a 2-form Ω of rank 2m, a 1-form η such that Ωm Λ η≠0 and a vector field ξ satisfying iξΩ=0 and η(ξ)=1. Particular cases were considered in [3] and [6].http://dx.doi.org/10.1155/S0161171296000373locally conformal cosymplectic manifoldT-parallel connection infinitesimal homothetyinfinitesimal conformal transformationHamiltonian vector fieldtangent bundleLiouville vector fieldcomplete liftmechanical system. |
| spellingShingle | I. Mihai L. Verstraelen R. Rosca On a class of exact locally conformal cosymlectic manifolds International Journal of Mathematics and Mathematical Sciences locally conformal cosymplectic manifold T-parallel connection infinitesimal homothety infinitesimal conformal transformation Hamiltonian vector field tangent bundle Liouville vector field complete lift mechanical system. |
| title | On a class of exact locally conformal cosymlectic manifolds |
| title_full | On a class of exact locally conformal cosymlectic manifolds |
| title_fullStr | On a class of exact locally conformal cosymlectic manifolds |
| title_full_unstemmed | On a class of exact locally conformal cosymlectic manifolds |
| title_short | On a class of exact locally conformal cosymlectic manifolds |
| title_sort | on a class of exact locally conformal cosymlectic manifolds |
| topic | locally conformal cosymplectic manifold T-parallel connection infinitesimal homothety infinitesimal conformal transformation Hamiltonian vector field tangent bundle Liouville vector field complete lift mechanical system. |
| url | http://dx.doi.org/10.1155/S0161171296000373 |
| work_keys_str_mv | AT imihai onaclassofexactlocallyconformalcosymlecticmanifolds AT lverstraelen onaclassofexactlocallyconformalcosymlecticmanifolds AT rrosca onaclassofexactlocallyconformalcosymlecticmanifolds |