On Painlevé's equations I, II and IV
✍ Scribed by Norbert Steinmetz
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- English
- Weight
- 553 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0021-7670
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We apply techniques of Painlevé-Kowalewski analysis to a Hamiltonian system arising from symmetry reduction of the Ricci-flat Einstein equations. In the case of doubly warped product metrics on a product of two Einstein manifolds over an interval, we show that the cases when the total dimension is 1
Third order ordinary differential equations admitting the Painleve equations PI ánd PII as first integrals are completely characterized. This is done by determining necessary and sufficient conditions for these equations to belong to the equivalence class of certain canonical equations. This charact