Half conformally flat gradient Ricci almost solitons

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2016Embargo end date: 01 Jan 2016 English Publisher:The Royal SocietyJournal:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, volume 472, page 20,160,043 (issn: 1364-5021, eissn: 1471-2946,

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Authors: M. Brozos-Vázquez; E. García-Río; X. Valle-Regueiro;

doi: 10.1098/rspa.2016.0043 , 10.48550/arxiv.1601.04837

pmid: 27279774

pmc: PMC4893185

arXiv: 1601.04837

Half conformally flat gradient Ricci almost solitons

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Abstract

The local structure of half conformally flat gradient Ricci almost solitons is investigated, showing that they are locally conformally flat in a neighbourhood of any point where the gradient of the potential function is non-null. In opposition, if the gradient of the potential function is null, then the soliton is a steady traceless κ -Einstein soliton and is realized on the cotangent bundle of an affine surface.

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University of Santiago de Compostela
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University of A Coruña
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Escola Politècnica Superior d'Alcoi
Spain
University of Santiago de Compostela (USC)
Spain

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), 53C21, 53B30, 53C24, 53C44, FOS: Mathematics

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