Biconservative Hypersurfaces in E14\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb {E}^4_1$$\end{document} with Non-diagonalizable Shape Operator

被引：0
作者：
Aykut Kayhan
Nurettin Cenk Turgay
机构：
[1] Marmara Eğitim Köyü,Faculty of Education, Mathematics and Science Education Department
[2] Istanbul Technical University,Department of Mathematics, Faculty of Science and Letters
来源：
Mediterranean Journal of Mathematics | 2023年 / 20卷 / 3期
关键词：
Biconservative hypersurfaces; non-diagonalizable shape operator; Minkowski space; biharmonic isometric immersions; 53C42 (Primary); 53B25;
D O I：
10.1007/s00009-023-02286-5
中图分类号：
学科分类号：
摘要：
In this paper, we study biconservative isometric immersions into Minkowski 4-space E14\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {E}}_1^4$$\end{document}. We obtain the local classification of biconservative hypersurfaces with non-diagonalizable shape operator. As a result, we complete the local study of biconservative hypersurfaces of E14\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {E}}_1^4$$\end{document} initiated in Fu and Turgay (Int J Math 27:1650041, 2016). We also get some results considering the intrinsic properties of this class of hypersurfaces.
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