Examples of Algebraic Ricci Solitons in the Pseudo-Riemannian Case

By K. Onda. 2011

50 citations recorded by the source corpus.

This paper provides a study of algebraic Ricci solitons in the pseudo-Riemannian case. In the Riemannian case, all nontrivial homogeneous algebraic Ricci solitons are expanding algebraic Ricci solitons. We obtain a steady algebraic Ricci soliton and a shrinking algebraic Ricci soliton in the Lorentzian setting.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/93cae475a619cea5d20880b67099957371e8eb6b