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Register a new userThree-dimensional Lorentzian homogeneous Ricci solitons
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Added by
Miguel Brozos-Vazquez
Publication date
2009
fields
Physics
and research's language is
English
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We describe three-dimensional Lorentzian homogeneous Ricci solitons, showing that all types (i.e. shrinking, expanding and steady) exist. Moreover, all non-trivial examples have non-diagonalizable Ricci operator with one only eigenvalue.
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We describe the structure of the Ricci tensor on a locally homogeneous Lorentzian gradient Ricci soliton. In the non-steady case, we show the soliton is rigid in dimensions three and four. In the steady case, we give a complete classification in dimension three.
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