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

^*Corresponding author for this work

Department of Mathematics Engineering

Kadir Has University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1-6
Number of pages	6
Journal	Advances in Geometry
Volume	15
Issue number	1
DOIs	https://doi.org/10.1515/advgeom-2014-0020
Publication status	Published - 1 Jan 2015

Bibliographical note

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

Keywords

Asymptotic line
Bianchi surface
Geodesic ellipse
Geodesic hyperbola
Geodesic parallel
Helicoidal surface

Access to Document

10.1515/advgeom-2014-0020

Cite this

@article{1827cb2fd90d4a6a8adb38cd81c98deb,

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",

}

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 - http://www.scopus.com/inward/record.url?scp=84921383813&partnerID=8YFLogxK

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

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this