Geometry of projective plane and Poisson structure (Q1017434)
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: Geometry of projective plane and Poisson structure |
scientific article; zbMATH DE number 5554728
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometry of projective plane and Poisson structure |
scientific article; zbMATH DE number 5554728 |
Statements
Geometry of projective plane and Poisson structure (English)
0 references
19 May 2009
0 references
The author proves various identities on Poisson brackets wherefrom he derives the well-known theorems of Desargues, of Pascal, and of Briachon for the real projective plane avoiding any application of the classical Projective Geometry. The author follows the procedure given in [\textit{V. Arnold}, J. Geom. Phys. 53, No.~4, 421--427 (2005; Zbl 1092.53055)].
0 references
Poisson bracket
0 references
Jacobi identity
0 references
Lobachevsky plane
0 references
de Sitter world
0 references
