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arXiv · 1310.7254

Painlevé analysis of the Bryant Soliton

Alejandro Betancourt de la Parra
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Abstract

We carry out a Painlevé analysis of the systems of differential equations corresponding to the steady and the expanding, rotationally symmetric, gradient Ricci solitons on $\mathbb{R}^n$. For the steady case, dimensions of the form $n=k^2+1$ are singled out, with dimensions 2, 5, and 10 being particularly distinguished. Only dimension 2 is singled out for the expanding soliton.

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Alejandro Betancourt de la Parra. 2014-08-07. Painlevé analysis of the Bryant Soliton. https://arxiv.org/abs/1310.7254

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