Biconservative Riemannian Submanifolds in Minkowski 5-Space

Authors : Rüya Yeğin Şen

Pages : 137-145

Doi:10.36890/iejg.1374716

View : 63 | Download : 79

Publication Date : 2024-04-23

Article Type : Research Paper

Abstract :In this study, we focus biconservative Riemannian submanifolds with parallel normalized mean curvature vector field (PNMCV) in $\\mathbb{E}^5_1$. We obtain explicit classifications for these submanifolds with exactly two distinct principal curvatures of the shape operator along the mean curvature vector field. In particular, we investigate these submanifolds which have time-like and space-like mean curvature vector field in $\\mathbb{E}^5_1$.
Keywords : Biconservative submanifolds, submanifolds with parallel normalized mean curvature vector, Minkowski space