On biconservative surfaces in 4-dimensional Euclidean space


Sen R. , Turgay N. C.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, cilt.460, ss.565-581, 2018 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 460 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.jmaa.2017.12.009
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
  • Sayfa Sayısı: ss.565-581

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.