A Classification of Parallel Normalized Biconservative Submanifold in the Minkowski Space in Arbitrary Dimension
International Electronic Journal of Geometry, cilt.16, sa.2, ss.653-664, 2023 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.36890/iejg.1263203
- Dergi Adı: International Electronic Journal of Geometry
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.653-664
- Anahtar Kelimeler: biconservative isometric immersions, Biconservative submanifolds, Minkowski space, non-diagonalizable shape operator
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Maltepe Üniversitesi Adresli: Evet
Özet
In this paper, we examine PNMCV-MCGL biconservative submanifold in a Minkowski space En+21 with nondiagonalizable shape operator, where PNMCV-MCGL submanifold denotes a submanifold with parallel normalized mean curvature vector and the mean curvature whose gradient is lightlike (⟨∇H,∇H⟩ = 0).We obtain some conditions about connection forms, principal curvatures and some results about them. Then we use them to obtain a classification of such submanifolds. Finally, we showed that there is no biconservative such submanifold in Minkowski space of arbitrary dimension.