Three-dimensional Lorentzian homogeneous Ricci solitons

Details Three-dimensional Lorentzian homogeneous Ricci solitons Three-dimensional Lorentzian homogeneous Ricci solitons

2009-11-06

arxiv.org/abs/0911.1247v1

Mathematics

Differential Geometry

Scientific paper

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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