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A Note on Legendrian Dualities

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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.
Title: A Note on Legendrian Dualities
Description:
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.

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