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A Note on Legendrian Dualities
  • Haiming Liu,
  • jiajing Miao
Haiming Liu
Mudanjiang Normal University

Corresponding Author:[email protected]

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jiajing Miao
Mudanjiang Normal University
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Abstract

The motivation of this paper is that we wish to add some new information on Legendrian dualities for continuous families of pseudo-spheres in Minkowski space. We construct all contact diffeomorphic mappings between those contact manifolds and display them in a table which contains all information about Legendrian dualities, by the way, we extend them to the case of Legendrian dualities for continuous families of pseudo-spheres in general semi-Euclidean space.