通过形状算子动力学分析余维一沉浸的几何
微分几何
2026-05-08 v4
摘要
我们通过形状算子上的四阶几何演化，研究余维为一的等距沉浸在黎曼流形中的外异质几何。受双谐映象理论和广义陈运动 conjecture 启发，我们引入一种模数流，即一种衡量曲率变化的自然能量的张量梯度流。
引用
@article{arxiv.2507.12068,
title = {Analyzing the Geometry of Immersions of Co-Dimension One via Shape Operator Dynamics},
author = {Mohammad Javad Habibi Vosta Kolaei},
journal= {arXiv preprint arXiv:2507.12068},
year = {2026}
}
备注
The definition of the biharmonic tension field is not working in this case. Also I have been known by my colleagues that the introduced flow is not well-studied enough to being used. By all above, I have decided to withdrawn this manuscript and reconsider the issue to avoid any further misunderstanding