Abstract
We investigate Ricci solitons on Lorentzian three-manifolds (M,g f ) admitting a parallel degenerate line field. For several classes of these manifolds, described in terms of the defining function f, the existence of non-trivial Ricci solitons is proved.
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Authors supported by funds of MURST and the University of Salento.
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Calvaruso, G., De Leo, B. Ricci solitons on Lorentzian Walker three-manifolds. Acta Math Hung 132, 269–293 (2011). https://doi.org/10.1007/s10474-010-0049-z
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DOI: https://doi.org/10.1007/s10474-010-0049-z