中文

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HH的梯度为类光的洛伦兹双守恒超曲面,即\grH,\grH=0\langle \gr H,\gr H\rangle=0。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。

关键词

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