Biharmonic PNMCV submanifolds in Euclidean 5-space

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Şen R., Turgay N. C.

Turkish Journal of Mathematics, vol.47, no.1, pp.296-316, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.55730/1300-0098.3361
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.296-316
  • Keywords: Biconservative submanifolds, Biharmonic submanifolds, Parallel normalized mean curvature vectors
  • Istanbul Technical University Affiliated: Yes

Abstract

© TÜBİTAKIn this article, we study 3-dimensional biconservative and biharmonic submanifolds of E5 with parallel normalized mean curvature vector (PNMCV). First, we prove that the principal curvartures and principal directions of biconservative PNMCV isometric immersions into E5 can be determined intrinsically. Then, we complete the proof of Chen’s biharmonic conjecture for PNMCV submanifolds of E5.