A look on equations describing pseudospherical surfaces

Fuente: arXiv
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Main Author: Freire, Igor Leite
Format: Preprint
Published: 2025
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author Freire, Igor Leite
author_facet Freire, Igor Leite
contents We revisit the notion of equations describing pseudospherical surfaces, starting from the works by Sasaki, whose roots were influenced by the AKNS system, the works by Chern and Tenenblat, until current research topics in the field relating to Cauchy problems involving these equations and their geometric consequences.
format Preprint
id arxiv_https___arxiv_org_abs_2506_23890
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A look on equations describing pseudospherical surfaces
Freire, Igor Leite
Differential Geometry
Mathematical Physics
37K10 (primary), 53B20 (secondary)
We revisit the notion of equations describing pseudospherical surfaces, starting from the works by Sasaki, whose roots were influenced by the AKNS system, the works by Chern and Tenenblat, until current research topics in the field relating to Cauchy problems involving these equations and their geometric consequences.
title A look on equations describing pseudospherical surfaces
topic Differential Geometry
Mathematical Physics
37K10 (primary), 53B20 (secondary)
url https://arxiv.org/abs/2506.23890