A classification of parallel normalized biconservative submanifold in the minkowski space in arbitrary dimension
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Date
2023
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
International Electronic Journal Of Geometry
Access Rights
info:eu-repo/semantics/openAccess
Abstract
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.
Description
Keywords
Biconservative submanifolds, Non-diagonalizable shape operator, Minkowski space, Biconservative isometric immersions
Journal or Series
International Electronic Journal Of Geometry
WoS Q Value
N/A
Scopus Q Value
Volume
16
Issue
2
Citation
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.
