IIn this paper, we examine PNMCV-MCGL biconservative submanifold in a Minkowski space $\mathbb{E}_1^{n+2}$ 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 ($\langle\nabla H,\nabla H\rangle=0$). 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.
Biconservative submanifolds non-diagonalizable shape operator Minkowski space biconservative isometric immersions
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Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Araştırma Makalesi |
Yazarlar | |
Proje Numarası | yok |
Erken Görünüm Tarihi | 19 Ekim 2023 |
Yayımlanma Tarihi | 29 Ekim 2023 |
Kabul Tarihi | 11 Haziran 2023 |
Yayımlandığı Sayı | Yıl 2023 Cilt: 16 Sayı: 2 |