77228 20230921135424.0 doi 10.3390/axioms8010007 sideral 110388 ART-2019-110388 eng Fernández, M. The Laplacian flow of locally conformal calibrated G2-structures 2019 Access copy available to the general public Unrestricted We 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. info:eu-repo/grantAgreement/ES/DGA/E22-17R info:eu-repo/grantAgreement/ES/MINECO/MTM2014-54804-P info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 0.314 2019 Geometry and Topology 2019 Q3 Analysis 2019 Q3 Mathematical Physics 2019 Q3 Logic 2019 Q3 Algebra and Number Theory 2019 Q4 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Manero, V. Universidad de Zaragoza (orcid)0000-0001-9884-7995 Sánchez, J. 2006 200 Universidad de Zaragoza Dpto. Matemáticas Área Didáctica Matemática 8, 1 (2019), 7 [15 pp] Axioms Axioms 2075-1680 257664 http://zaguan.unizar.es/record/77228/files/texto_completo.pdf Versión publicada 86088 http://zaguan.unizar.es/record/77228/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:77228 articulos driver 2023-09-21-13:28:42 ARTICLE