Half conformally flat gradient Ricci almost solitons-Reference-Cited by-同舟云学术

Half conformally flat gradient Ricci almost solitons

Published:2016-05 Issue:2189 Volume:472 Page:20160043
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Brozos-Vázquez M.¹,García-Río E.²^ORCID,Valle-Regueiro X.²

Affiliation:

1. Departamento de Matemáticas, Escola Politécnica Superior, Universidade da Coruña, Coruña, Spain

2. Faculty of Mathematics, University of Santiago de Compostela, 15782 Santiago de Compostela, Spain

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.

Funder

Xunta de Galicia

Ministerio de Economía y Competitividad

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2016.0043

Reference41 articles.

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