arXiv subjects
Publications and source records attributed to McKenzie Y. Wang.
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.
This is a sequel to the survey given by the author in Surveys in Differential Geometry Vol. 6 in 1999. The present survey covers selected developments since 1999 to 2011 dealing with the construction of Einstein metrics on bundles and Einstein metrics with symmetries.
We produce new examples of non-Kähler complete expanding gradient Ricci solitons on trivial vector bundles over a product of Einstein manifolds with positive scalar curvature.
We produce non-Kähler complete steady gradient Ricci solitons generalising those constructed by Bryant and Ivey.