Biharmonic PNMCV submanifolds in Euclidean 5-space

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Şen R., Turgay N. C.

Turkish Journal of Mathematics, cilt.47, sa.1, ss.296-316, 2023 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3361
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.296-316
  • Anahtar Kelimeler: Biharmonic submanifolds, biconservative submanifolds, parallel normalized mean curvature vectors
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

© 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.