106155 20230519145355.0 doi 10.1007/s00229-020-01205-2 sideral 118694 ART-2021-118694 eng Manero, Víctor Universidad de Zaragoza (orcid)0000-0001-9884-7995 Solutions of the Laplacian flow and coflow of a locally conformal parallel G2-structure 2021 Access copy available to the general public Unrestricted We study the Laplacian flow of a G 2-structure where this latter structure is claimed to be locally conformal parallel. The first examples of long time solutions of this flow with the locally conformal parallel condition are given. All of the solutions are ancient and Laplacian soliton of shrinking type. These examples are one-parameter families of locally conformal parallel G2-structures on rank-one solvable extensions of six-dimensional nilpotent Lie groups. The found solutions are used to construct long time solutions to the Laplacian coflow starting from a locally conformal parallel structure. We also study the behavior of the curvature of the solutions obtaining that for one of the examples the induced metric is Einstein along all the flow (resp. coflow). info:eu-repo/grantAgreement/ES/DGA/E22-17R info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P info:eu-repo/grantAgreement/ES/UZ/CUD2019-CIE-02 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.64 2021 MATHEMATICS 258 / 333 = 0.775 2021 Q4 T3 0.709 2021 Mathematics (miscellaneous) 2021 Q2 1.4 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Otal, Antonio Universidad de Zaragoza (orcid)0000-0002-1567-7159 Villacampa, Raquel (orcid)0000-0001-6790-7342 2005 595 Universidad de Zaragoza Dpto. Matemática Aplicada Área Matemática Aplicada 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 165 (2021), 61–87 Manuscr. math. Manuscripta Mathematica 0025-2611 382868 http://zaguan.unizar.es/record/106155/files/texto_completo.pdf Postprint 1466586 http://zaguan.unizar.es/record/106155/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:106155 articulos driver 2023-05-18-13:32:12 ARTICLE