首页|Legendrian dualities and evolute-involute curve pairs of spacelike fronts in null sphere
Legendrian dualities and evolute-involute curve pairs of spacelike fronts in null sphere
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NSTL
Elsevier
The curves that may have singularities on the null sphere have not been discussed before. Since they are degenerate, we can not investigate them directly. So we would like to solve these problems by using the duality theory and the results of our previous studies in Euclidean space. In addition, we discuss the evolutes and involutes of spacelike fronts and investigate their geometric properties in null sphere. Then we also give the classifications of the singularities of evolutes and involutes. Moreover, we give the dual relationships between nullcone surfaces and spacelike fronts. (C) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier
