arXiv subjects

S. Gavino-Fernandez

Publications and source records attributed to S. Gavino-Fernandez.

2 recordsLinked to original sources

arXiv2010

Ricci Solitons on Lorentzian Manifolds with Large Isometry Groups

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.

math.DG↗

arXiv2009

Three-dimensional Lorentzian homogeneous Ricci solitons

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.

math.DG↗