The structure of the Ricci tensor on locally homogeneous Lorentzian gradient Ricci solitons
Published online by Cambridge University Press: 22 February 2018
Abstract
We describe the structure of the Ricci tensor on a locally homogeneous Lorentzian gradient Ricci soliton. In the non-steady case, we show that the soliton is rigid in dimensions 3 and 4. In the steady case we give a complete classification in dimension 3.
Keywords
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 148 , Issue 3 , June 2018 , pp. 461 - 482
- Copyright
- Copyright © Royal Society of Edinburgh 2018
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