共形与射影曲面的微分不变量
微分几何
2008-04-25 v1 数学物理
math.MP
摘要
我们证明，对于共形群和射影群，三维空间中一般曲面的所有微分不变量均可写为单个微分不变量的不变导数的组合。该证明基于等变活动标架法。
引用
@article{arxiv.0710.0519,
title = {Differential Invariants of Conformal and Projective Surfaces},
author = {Evelyne Hubert and Peter J. Olver},
journal= {arXiv preprint arXiv:0710.0519},
year = {2008}
}
备注
This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/