Bianchi surfaces whose asymptotic lines are geodesic parallels

Güler Gürpinar Arsan; Abdülkadir Özdeʇer

doi:10.1515/advgeom-2014-0020

Bianchi surfaces whose asymptotic lines are geodesic parallels

Güler Gürpinar Arsan^*
, Abdülkadir Özdeʇer

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Kadir Has University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

Özet

It is proved that every Bianchi surface in E³ of class C⁴ whose asymptotic lines are geodesic parallels is either a helicoid or a surface of revolution.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1-6
Sayfa sayısı	6
Dergi	Advances in Geometry
Hacim	15
Basın numarası	1
DOI'lar	https://doi.org/10.1515/advgeom-2014-0020
Yayın durumu	Yayınlandı - 1 Oca 2015

Bibliyografik not

Publisher Copyright:
© 2015, Walter de Gruyter GmbH. All rights reserved.

Belgeye Erişim

10.1515/advgeom-2014-0020

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "Bianchi surfaces whose asymptotic lines are geodesic parallels",

abstract = "It is proved that every Bianchi surface in E3 of class C4 whose asymptotic lines are geodesic parallels is either a helicoid or a surface of revolution.",

keywords = "Asymptotic line, Bianchi surface, Geodesic ellipse, Geodesic hyperbola, Geodesic parallel, Helicoidal surface",

author = "Arsan, \{G{\"u}ler G{\"u}rpinar\} and Abd{\"u}lkadir {\"O}zdeʇer",

year = "2015",

month = jan,

day = "1",

doi = "10.1515/advgeom-2014-0020",

language = "English",

volume = "15",

pages = "1--6",

journal = "Advances in Geometry",

issn = "1615-715X",

publisher = "Walter de Gruyter GmbH",

number = "1",

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TY - JOUR

T1 - Bianchi surfaces whose asymptotic lines are geodesic parallels

AU - Arsan, Güler Gürpinar

AU - Özdeʇer, Abdülkadir

PY - 2015/1/1

Y1 - 2015/1/1

N2 - It is proved that every Bianchi surface in E3 of class C4 whose asymptotic lines are geodesic parallels is either a helicoid or a surface of revolution.

AB - It is proved that every Bianchi surface in E3 of class C4 whose asymptotic lines are geodesic parallels is either a helicoid or a surface of revolution.

KW - Asymptotic line

KW - Bianchi surface

KW - Geodesic ellipse

KW - Geodesic hyperbola

KW - Geodesic parallel

KW - Helicoidal surface

UR - https://www.scopus.com/pages/publications/84921383813

U2 - 10.1515/advgeom-2014-0020

DO - 10.1515/advgeom-2014-0020

M3 - Article

AN - SCOPUS:84921383813

SN - 1615-715X

VL - 15

SP - 1

EP - 6

JO - Advances in Geometry

JF - Advances in Geometry

IS - 1

ER -

Bianchi surfaces whose asymptotic lines are geodesic parallels

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap