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On the solvability of Painlevé II and IV

✍ Scribed by A. S. Fokas; Xin Zhou


Publisher
Springer
Year
1992
Tongue
English
Weight
997 KB
Volume
144
Category
Article
ISSN
0010-3616

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The cohomogeneity one Einstein equations
✍ Andrew Dancer; McKenzie Y. Wang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 170 KB

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