TY  - JOUR
T1  - A Classification of Parallel Normalized Biconservative  Submanifold in the Minkowski Space in Arbitrary Dimension
AU  - Kayhan, Aykut
PY  - 2023
DA  - October
Y2  - 2023
DO  - 10.36890/iejg.1263203
JF  - International Electronic Journal of Geometry
JO  - Int. Electron. J. Geom.
PB  - Kazım İlarslan
WT  - DergiPark
SN  - 1307-5624
SP  - 653
EP  - 664
VL  - 16
IS  - 2
LA  - en
AB  - 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 curvaturevector 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.
KW  - Biconservative submanifolds
KW  - non-diagonalizable shape operator
KW  - Minkowski
space
KW  - biconservative isometric immersions
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UR  - https://doi.org/10.36890/iejg.1263203
L1  - https://dergipark.org.tr/en/download/article-file/3002565
ER  -