Framed curves in three-dimensional Lie groups and a Berry phase model

Yazici, Bahar Dogan; Okuyucu, Osman Zeki; Tosun, Murat

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dc.contributor.authors	Yazici, Bahar Dogan; Okuyucu, Osman Zeki; Tosun, Murat
dc.date.accessioned	2022-12-20T13:24:51Z
dc.date.available	2022-12-20T13:24:51Z
dc.date.issued	2022
dc.identifier.issn	0393-0440
dc.identifier.uri	http://dx.doi.org/10.1016/j.geomphys.2022.104682
dc.identifier.uri	https://hdl.handle.net/20.500.12619/99049
dc.description	Bu yayının lisans anlaşması koşulları tam metin açık erişimine izin vermemektedir.
dc.description.abstract	In this study, we introduce framed curves which can have singular points in three-dimensional Lie groups. We give Frenet-Serret type formulas of framed curves with the help of a Lie curvature in three-dimensional Lie groups. Then, we define adapted frames of framed curves in three-dimensional Lie groups such that Frenet-Serret type frame and Bishop frame. Finally, as a physical application, we give Berry phase model of polarized light wave along an optical fiber in Lie groups. (c) 2022 Elsevier B.V. All rights reserved.
dc.language	English
dc.language.iso	eng
dc.relation.isversionof	10.1016/j.geomphys.2022.104682
dc.subject	Mathematics
dc.subject	Physics
dc.subject	Lie groups
dc.subject	Framed curves
dc.subject	Adapted frames
dc.subject	Optical fiber
dc.subject	Berry -phase
dc.title	Framed curves in three-dimensional Lie groups and a Berry phase model
dc.identifier.volume	182
dc.relation.journal	JOURNAL OF GEOMETRY AND PHYSICS
dc.identifier.doi	10.1016/j.geomphys.2022.104682
dc.identifier.eissn	1879-1662
dc.contributor.author	Yazici, Bahar Dogan
dc.contributor.author	Okuyucu, Osman Zeki
dc.contributor.author	Tosun, Murat
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı