关于极小曲面的广义高斯映射在射影簇中与超曲面重合的唯一性问题
微分几何
2024-01-23 v3
摘要
在本文中，我们研究浸入于 中（具有相同底）的极小曲面的广义高斯映射的唯一性问题，这些曲面在射影子簇 中具有某些超曲面的相同逆像。据我们所知，这是首次研究射影簇中与超曲面重合的极小曲面广义高斯映射的唯一性。我们的结果推广并改进了该领域先前的结果。
引用
@article{arxiv.2211.06842,
title = {On generalized Gauss maps of minimal surfaces sharing hypersurfaces in a projective variety},
author = {Si Duc Quang and Do Thi Thuy Hang},
journal= {arXiv preprint arXiv:2211.06842},
year = {2024}
}
备注
In this version, the paper is re-written shorter and more simplify. The title and abstract of the paper are changed. Some typos are cleared. The paper consists of 18 pages