A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space

作者:Chen Liang*; Izumiya Shyuichi
来源:Proceedings of the Japan Academy Series A-Mathematical Sciences, 2009, 85(4): 49-54.
DOI:10.3792/pjaa.85.49

摘要

We show six Legendrian dualities between pseudo-spheres in semi-Euclidean space which are basic tools for the study of extrinsic differential geometry of submanifolds in these pseudo-spheres.