doi:10.3390/axioms8010007engFernández, M.Manero, V.Sánchez, J.The Laplacian flow of locally conformal calibrated G2-structuresART-2019-110388We consider the Laplacian flow of locally conformal calibrated G2 -structures as a natural extension to these structures of the well-known Laplacian flow of calibrated G2 -structures. We study the Laplacian flow for two explicit examples of locally conformal calibrated G2 manifolds and, in both cases, we obtain a flow of locally conformal calibrated G2 -structures, which are ancient solutions, that is they are defined on a time interval of the form (−∞,T) , where T>0 is a real number. Moreover, for each of these examples, we prove that the underlying metrics g(t) of the solution converge smoothly, up to pull-back by time-dependent diffeomorphisms, to a flat metric as t goes to −∞ , and they blow-up at a finite-time singularity.2019http://zaguan.unizar.es/record/7722810.3390/axioms8010007http://zaguan.unizar.es/record/77228oai:zaguan.unizar.es:77228info:eu-repo/grantAgreement/ES/DGA/E22-17Rinfo:eu-repo/grantAgreement/ES/MINECO/MTM2014-54804-Pinfo:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-PAxioms 8, 1 (2019), 7 [15 pp]byhttp://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccess