Locally Conformally Flat Lorentzian Gradient Ricci Solitons

Details Locally Conformally Flat Lorentzian Gradient Ricci Solitons Locally Conformally Flat Lorentzian Gradient Ricci Solitons

2011-06-15

arxiv.org/abs/1106.2924v1

Mathematics

Differential Geometry

Scientific paper

It is shown that locally conformally flat Lorentzian gradient Ricci solitons
are locally isometric to a Robertson-Walker warped product, if the gradient of
the potential function is non null, and to a plane wave, if the gradient of the
potential function is null. The latter gradient Ricci solitons are necessarily
steady.

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