Projective differential geometrical structure of the Painlevé equations (Q1806157)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Projective differential geometrical structure of the Painlevé equations |
scientific article; zbMATH DE number 1356350
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Projective differential geometrical structure of the Painlevé equations |
scientific article; zbMATH DE number 1356350 |
Statements
Projective differential geometrical structure of the Painlevé equations (English)
0 references
20 December 1999
0 references
The authors obtain necessary and sufficient conditions that an equation of the form \(y''= f(x,y,y')\) can be reduced to one of the Painlevé equations under general point transformations. The theory of invariants plays a leading role in this investigation. The surfaces corresponding to all Painlevé equations are presented.
0 references
Painlevé equations
0 references
invariants
0 references
0 references
0 references
