On the Biconservative Quasi-Minimal Immersions into Semi-Euclidean Spaces

YEĞİN ŞEN R., KELLECİ A., Turgay N. C., Canfes E.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.18, sa.3, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00009-021-01755-z
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study biconservative immersions into the semi-Riemannian space form R24(c) of dimension 4, index 2 and constant curvature c is an element of {0,-1,1}. First, we obtain a characterization of quasi-minimal proper biconservative immersions into R24(c). Then we obtain the complete classification of quasi-minimal biconservative surfaces in R24(0)=E24. We also obtain a new class of biharmonic quasi-minimal surfaces in E24.