闵可夫斯基空间中双守恒超曲面的分类
微分几何
2025-07-15 v2
摘要
本文研究了其平均曲率的梯度为类光的洛伦兹双守恒超曲面,即。通过对Codazzi方程和Gauss方程进行严格分析,我们证明了此类超曲面在闵可夫斯基空间中不存在。
引用
@article{arxiv.2410.17903,
title = {A classification of Biconservative Hypersurfaces in the Minkowski spaces},
author = {Aykut Kayhan},
journal= {arXiv preprint arXiv:2410.17903},
year = {2025}
}
备注
This manuscript is not well written. So it is needed to be revised carefully. It is not suitable for scientific research with the current version