A classification of parallel normalized biconservative submanifold in the minkowski space in arbitrary dimension
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
International Electronic Journal Of Geometry
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we examine PNMCV-MCGL biconservative submanifold in a Minkowski space E n+2 1 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.
Açıklama
Anahtar Kelimeler
Biconservative submanifolds, Non-diagonalizable shape operator, Minkowski space, Biconservative isometric immersions
Kaynak
International Electronic Journal Of Geometry
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
16
Sayı
2
Künye
Kayhan, A. (2023). A classification of parallel normalized biconservative submanifold in the minkowski space in arbitrary dimension. International Electronic Journal Of Geometry, 16(2), p.653-664.
