Abstract
In this paper, we find some new information on Legendrian dualities and extend them to the case of Legendrian dualities for continuous families of pseudo-spheres in general semi-Euclidean space. In particular, we construct all contact diffeomorphic mappings between the contact manifolds and display them in a table that contains all information about Legendrian dualities.
Funder
Natural Science Foundation of Heilongjiang Province
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference38 articles.
1. On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane into the Plane
2. Differential Geometry from a Singularity Theory Viewpoint;Izumiya,2016
3. Singularities of Differentiable Maps;Arnol’d,1988
4. Curves and Singularities;Bruce,1992
5. Time-like hypersurfaces in de Sitter space and Legendrian singularities
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献