On biconservative surfaces in 4-dimensional Euclidean space

Rüya Yeğin Şen; Nurettin Cenk Turgay

doi:10.1016/j.jmaa.2017.12.009

On biconservative surfaces in 4-dimensional Euclidean space

Rüya Yeğin Şen^*
, Nurettin Cenk Turgay

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Istanbul Medeniyet University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

22 Atıf (Scopus)

Özet

In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the Euclidean 4-space E⁴. First, we determine locally all parallel normalized mean curvature vector (PNMCV) biconservative surfaces in E⁴, showing that they are certain rotational surfaces. Then, we consider meridian surfaces lying on a rotational hypersurface of E⁴ and construct a family of biconservative surfaces with flat normal bundle and non-parallel normalized mean curvature vector.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	565-581
Sayfa sayısı	17
Dergi	Journal of Mathematical Analysis and Applications
Hacim	460
Basın numarası	2
DOI'lar	https://doi.org/10.1016/j.jmaa.2017.12.009
Yayın durumu	Yayınlandı - 15 Nis 2018

Bibliyografik not

Publisher Copyright:
© 2017 Elsevier Inc.

Finansman

This work was obtained during the project supported by Research Fund of the Istanbul Medeniyet University (Project Number: F-GAP-2017-986 ).

Finansörler	Finansör numarası
Istanbul Medeniyet University	F-GAP-2017-986

Belgeye Erişim

10.1016/j.jmaa.2017.12.009

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On biconservative surfaces in 4-dimensional Euclidean space",

abstract = "In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the Euclidean 4-space E4. First, we determine locally all parallel normalized mean curvature vector (PNMCV) biconservative surfaces in E4, showing that they are certain rotational surfaces. Then, we consider meridian surfaces lying on a rotational hypersurface of E4 and construct a family of biconservative surfaces with flat normal bundle and non-parallel normalized mean curvature vector.",

keywords = "Biconservative surfaces, Meridian surfaces, Parallel normalized mean curvature vectors",

author = "\{Yeğin {\c S}en\}, R{\"u}ya and Turgay, \{Nurettin Cenk\}",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2018",

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day = "15",

doi = "10.1016/j.jmaa.2017.12.009",

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T1 - On biconservative surfaces in 4-dimensional Euclidean space

AU - Yeğin Şen, Rüya

AU - Turgay, Nurettin Cenk

PY - 2018/4/15

Y1 - 2018/4/15

N2 - In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the Euclidean 4-space E4. First, we determine locally all parallel normalized mean curvature vector (PNMCV) biconservative surfaces in E4, showing that they are certain rotational surfaces. Then, we consider meridian surfaces lying on a rotational hypersurface of E4 and construct a family of biconservative surfaces with flat normal bundle and non-parallel normalized mean curvature vector.

AB - In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the Euclidean 4-space E4. First, we determine locally all parallel normalized mean curvature vector (PNMCV) biconservative surfaces in E4, showing that they are certain rotational surfaces. Then, we consider meridian surfaces lying on a rotational hypersurface of E4 and construct a family of biconservative surfaces with flat normal bundle and non-parallel normalized mean curvature vector.

KW - Biconservative surfaces

KW - Meridian surfaces

KW - Parallel normalized mean curvature vectors

UR - https://www.scopus.com/pages/publications/85037725852

U2 - 10.1016/j.jmaa.2017.12.009

DO - 10.1016/j.jmaa.2017.12.009

M3 - Article

AN - SCOPUS:85037725852

SN - 0022-247X

VL - 460

SP - 565

EP - 581

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On biconservative surfaces in 4-dimensional Euclidean space

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap