On biconservative surfaces in 4-dimensional Euclidean space

YEĞİN ŞEN, RÜYA; Turgay, Nurettin

doi:10.1016/j.jmaa.2017.12.009

On biconservative surfaces in 4-dimensional Euclidean space

Atıf İçin Kopyala

YEĞİN ŞEN R., Turgay N. C.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.460, sa.2, ss.565-581, 2018 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 460 Sayı: 2
Basım Tarihi: 2018
Doi Numarası: 10.1016/j.jmaa.2017.12.009
Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.565-581
İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study non-CMC biconservative surfaces with flat normal bundle in the Euclidean 4-space E-4. First, we determine locally all parallel normalized mean curvature vector (PNMCV) biconservative surfaces in E-4, showing that they are certain rotational surfaces. Then, we consider meridian surfaces lying on a rotational hypersurface of E-4 and construct a family of biconservative surfaces with flat normal bundle and non-parallel normalized mean curvature vector. (C) 2017 Elsevier Inc. All rights reserved.