Turkish Journal of Mathematics
Abstract
In this article, we study 3-dimensional biconservative and biharmonic submanifolds of $\mathbb{E}^5$ with parallel normalized mean curvature vector (PNMCV). First, we prove that the principal curvartures and principal directions of biconservative PNMCV isometric immersions into $\mathbb{E}^5$ can be determined intrinsically. Then, we complete the proof of Chen's biharmonic conjecture for PNMCV submanifolds of $\mathbb{E}^5$.
DOI
10.55730/1300-0098.3361
Keywords
Biharmonic submanifolds, biconservative submanifolds, parallel normalized mean curvature vectors
First Page
296
Last Page
316
Recommended Citation
ŞEN, R, & TURGAY, N. C (2023). Biharmonic PNMCV submanifolds in Euclidean 5-space. Turkish Journal of Mathematics 47 (1): 296-316. https://doi.org/10.55730/1300-0098.3361
