A look on equations describing pseudospherical surfaces

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.

Authors

Institutions

Publication Details

Journal
Communications in Mathematics
Published
2026-02-19
DOI
https://doi.org/10.46298/cm.15963
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A look on equations describing pseudospherical surfaces

Igor Leite Freire
Communications in Mathematics
Algebraic and Geometric Analysis
article

A look on equations describing pseudospherical surfaces

Igor Leite Freire
article en

Abstract

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.

Communications in MathematicsVol. Volume 34 (2026), Issue 2...
Universidade Federal de São Carlos (BR)
Fundação de Amparo à Pesquisa do Estado de São Paulo, Conselho Nacional de Desenvolvimento Científico e Tecnológico
Openalex Percentile: Top 98%
Algebraic and Geometric Analysis
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A look on equations describing pseudospherical surfaces — Igor Leite Freire · Communications in Mathematics (2026) | TGRS Research Map | TGRS