Mathematics – Differential Geometry
Scientific paper
2010-07-20
Mathematics
Differential Geometry
Scientific paper
We show that Lorentzian manifolds whose isometry group is of dimension at
least $\frac{1}{2}n(n-1)+1$ are expanding, steady and shrinking Ricci solitons
and steady gradient Ricci solitons. This provides examples of complete locally
conformally flat and symmetric Lorentzian Ricci solitons which are not rigid.
Batat Wafaa
Brozos-Vazquez Miguel
Garcia-Rio Eduardo
Gavino-Fernández S.
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