On Cosymplectic Dynamics I

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AuteurTCHUIAGA, STEPHANE
AuteurHOUENOU, DJIDEME FRANCK
AuteurBIKORIMANA, PIERRE
Date d'ajout2026-06-02T16:06:57Z
Date de disponibilite2026-06-02T16:06:57Z
Date de publication2022
ResumeThis paper is an introduction to cosymplectic topology. Through it, we study the structures of thegroup of cosymplectic diffeomorphisms and the group of almost cosymplectic diffeomorphisms of a cosym-plectic manifold(M,ω,η):(i)−we dene and present the features of the space of almost cosymplectic vectorelds (resp. cosymplectic vector elds);(ii)−we prove by a direct method that the identity component in thegroup of all cosymplectic diffeomorphisms isC0−closed in the group Diff∞(M)(a rigidity result), while in thealmost cosymplectic case, we prove that the Reeb vector eld determines the almost cosymplectic nature oftheC0−limitφof a sequence of almost cosymplectic diffeomorphisms (a rigidity result). A sucient conditionbased on Reeb’s vector eld which guarantees thatφis a cosymplectic diffeomorphism is given (a exibilitycondition), the cosymplectic analogues of the usual symplectic capacity-inequality theorem are derived andthe cosymplectic analogue of a result that was proved by Hofer-Zehnder follows.
DOI10.1515/coma-2021-0132
Autre identifiantBECDB-15905
URIhttps://dspace.uac.bj/handle/123456789/13429
Languefr
Fait partie deComplex Manifolds
SujetRigidity results
SujetConvergence in general topology (sequences
Sujetlters
Sujetlimits
Sujetconvergence spaces
Sujetnets
Sujetetc.)
SujetDynamical systems involving smooth mappings and diffeomorphisms
SujetDynamics in general topo-logical spaces
TitreOn Cosymplectic Dynamics I
TypeArticle

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