Constant angle surfaces in the Lorentzian warped product manifold I ×f E²1

Basit Öğe Kaydı
dc.authorid0000-0002-5225-186X
dc.contributor.authorDursun, Uğuren_US
dc.date.accessioned2023-01-09T15:04:52Z
dc.date.available2023-01-09T15:04:52Z
dc.date.issued2022-09-14
dc.departmentIşık Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Engineering and Natural Sciences, Department of Mathematicsen_US
dc.description.abstractLet I ×f E²1 be a 3-dimensional Lorentzian warped product manifold with the metric g˜ = dt² + f² (t)(dx² ? dy² ), where I is an open interval, f is a strictly positive smooth function on I, and E²1 is the Minkowski 2-plane. In this work, we give a classification of all space-like and time-like constant angle surfaces in I ×f E²1 with nonnull principal direction when the surface is time-like. In this classification, we obtain space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we have some results on constant angle surfaces of the anti-de Sitter space H³1(?1).en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDursun, U. (2022). Constant angle surfaces in the Lorentzian warped product manifold I ×f E²1. Turkish Journal of Mathematics, 46(8), 3171-3191. doi:10.55730/1300-0098.3326en_US
dc.identifier.doi10.55730/1300-0098.3326
dc.identifier.endpage3191
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue8
dc.identifier.scopus2-s2.0-85143774410
dc.identifier.scopusqualityQ2
dc.identifier.startpage3171
dc.identifier.urihttps://hdl.handle.net/11729/5235
dc.identifier.urihttp://dx.doi.org/10.55730/1300-0098.3326
dc.identifier.urihttps://search.trdizin.gov.tr/yayin/detay/1147052
dc.identifier.volume46
dc.identifier.wosWOS:000890825900007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDursun, Uğuren_US
dc.institutionauthorid0000-0002-5225-186X
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherTübitaken_US
dc.relation.ispartofTurkish Journal of Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectConstant angle surfaceen_US
dc.subjectWarped producten_US
dc.subjectRotational surfaceen_US
dc.subjectMaximal surfaceen_US
dc.subjectZero mean curvatureen_US
dc.subjectGaussian curvatureen_US
dc.subjectHelix surfacesen_US
dc.subjectGraphsen_US
dc.titleConstant angle surfaces in the Lorentzian warped product manifold I ×f E²1en_US
dc.typeArticleen_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
Constant_angle_surfaces_in_the_Lorentzian_warped_product_manifold.pdf
Boyut:
316.26 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Publisher's Version
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
license.txt
Boyut:
1.44 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu
TR-Dizin İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu