Geometry of a surface in Riemannian 3-manifold corresponding to a smooth autonomous dynamical system

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dc.authoridBayrakdar, Tuna/0000-0001-8777-5842
dc.authorwosidBayrakdar, Tuna/M-9387-2017
dc.contributor.authorBayrakdar, Tuna
dc.date.accessioned2024-06-12T10:59:56Z
dc.date.available2024-06-12T10:59:56Z
dc.date.issued2022
dc.departmentTrakya Üniversitesien_US
dc.description.abstractIn this work, we identify a smooth autonomous dynamical on a two-dimensional manifold with an exterior differential system (Sigma,I), where Sigma is a three-dimensional Riemannian manifold and I is the differential ideal generated by the contact forms on Sigma. We investigate the intrinsic and the extrinsic geometry of a surface in Sigma and show that for a particular dynamical system Sigma admits a totally geodesic surface determined by a constant value of a coordinate function. We also exhibit that such a surface may define intrinsically nonflat minimal surface which is not necessarily totally geodesic.en_US
dc.identifier.doi10.1142/S021988782350024X
dc.identifier.issn0219-8878
dc.identifier.issn1793-6977
dc.identifier.issue12en_US
dc.identifier.scopus2-s2.0-85140235726en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.urihttps://doi.org/10.1142/S021988782350024X
dc.identifier.urihttps://hdl.handle.net/20.500.14551/20633
dc.identifier.volume19en_US
dc.identifier.wosWOS:000865459300016en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofInternational Journal Of Geometric Methods In Modern Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDynamical Systemsen_US
dc.subjectExterior Differential Systemsen_US
dc.subjectMinimal Surfacesen_US
dc.subjectTotally Geodesic Surfacesen_US
dc.subjectVector-Fieldsen_US
dc.subjectTangenten_US
dc.titleGeometry of a surface in Riemannian 3-manifold corresponding to a smooth autonomous dynamical systemen_US
dc.typeArticleen_US

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