A characterization of the Legendre involution on the class of generic frontals
Differential Geometry
2024-10-30 v1
Abstract
We show that, under an additional mild assumption, on the class of generic frontals, any involution whose fixed point set is exactly the same as the fixed point set of the Legendre involution must be the Legendre involution (Theorem 2 in \S 1). Moreover, its natural complexification (Corollary 1 in \S 3) is simultaneously shown.
Cite
@article{arxiv.2410.21957,
title = {A characterization of the Legendre involution on the class of generic frontals},
author = {Takashi Nishimura},
journal= {arXiv preprint arXiv:2410.21957},
year = {2024}
}
Comments
9 pages, no figures