欧氏空间中具有非负截面曲率的超曲面的A_2-奇点
微分几何
2010-11-09 v1
摘要
在先前的工作中，作者给出了“前丛”的定义。利用这一定义，我们给出了空间形式中波前的一个实现定理，类似于曲面论基本定理。作为应用，我们研究了欧氏空间中具有非负截面曲率的超曲面沿A_2-奇点的主奇异曲率的行为。
引用
@article{arxiv.1011.1544,
title = {A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space},
author = {Kentaro Saji and Masaaki Umehara and Kotaro Yamada},
journal= {arXiv preprint arXiv:1011.1544},
year = {2010}
}
备注
17 pages. This paper consits of the contents of sect. 2 & 3 in the ver. 1 & 2 of "The intrinsic duality of wave fronts" (arXiv:0910.3456) by the same authors, which are removed from the older version. The paper arXiv:0910.3456 are revised as "Coherent tangent bundles and Gauss-Bonnet formulas for wave fronts (arXiv:0910.3456v3), which will be published in "Journal of Geometric Analysis"