Vol. 293, No. 1, 2018

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Bach-flat isotropic gradient Ricci solitons

Esteban Calviño-Louzao, Eduardo García-Río, Ixchel Gutiérrez-Rodríguez and Ramón Vázquez-Lorenzo

Vol. 293 (2018), No. 1, 75–99
Abstract

We construct examples of Bach-flat gradient Ricci solitons in neutral signature which are neither half conformally flat nor conformally Einstein.

Keywords
gradient Ricci soliton, Bach tensor, Riemannian extension, affine surface
Mathematical Subject Classification 2010
Primary: 53C25
Secondary: 53C20, 53C44
Milestones
Received: 26 July 2016
Revised: 2 June 2017
Accepted: 11 September 2017
Published: 3 November 2017
Authors
Esteban Calviño-Louzao
Consellería de Cultura, Educación e Ordenación Universitaria
Santiago de Compostela
Spain
Eduardo García-Río
Faculty of Mathematics
University of Santiago de Compostela
Santiago de Compostela
Spain
Ixchel Gutiérrez-Rodríguez
Faculty of Mathematics
University of Santiago de Compostela
Santiago de Compostela
Spain
Ramón Vázquez-Lorenzo
Department of Mathematics
IES de Ribadeo Dionisio Gamallo
Ribadeo
Spain