Biconservative Riemannian Submanifolds in Minkowski 5-Space

Year 2024, Volume: 17 Issue: 1, 137 - 145, 23.04.2024

Rüya Yeğin Şen

https://doi.org/10.36890/iejg.1374716

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

Supporting Institution

TÜBİTAK

Project Number

121F253

Thanks

The author was supported by a 3501 project of the Scientific and Technological Research Council of Türkiye(TÜBİTAK) (Project Number:121F253)

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