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arXiv · 1407.2551

A Hamiltonian approach to the cohomogeneity one Ricci soliton equations

Alejandro Betancourt de la Parra·Andrew S. Dancer·McKenzie Y. Wang
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Abstract

We show how to view the equations for a cohomogeneity one Ricci soliton as a Hamiltonian system with a constraint. We investigate conserved quantities and superpotentials, and use this to find some explicit formulae for Ricci solitons not of Kähler type in five dimensions.

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Alejandro Betancourt de la Parra, Andrew S. Dancer, McKenzie Y. Wang. 2014-07-09. A Hamiltonian approach to the cohomogeneity one Ricci soliton equations. https://arxiv.org/abs/1407.2551

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