Biconservative Hypersurfaces in E14 with Non-diagonalizable Shape Operator

Kayhan A., Turgay N. C.

Mediterranean Journal of Mathematics, cilt.20, sa.3, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s00009-023-02286-5
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Biconservative hypersurfaces, non-diagonalizable shape operator, Minkowski space, biharmonic isometric immersions
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study biconservative isometric immersions into Minkowski 4-space E14. We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E14 initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.