000077228 001__ 77228
000077228 005__ 20230921135424.0
000077228 0247_ $$2doi$$a10.3390/axioms8010007
000077228 0248_ $$2sideral$$a110388
000077228 037__ $$aART-2019-110388
000077228 041__ $$aeng
000077228 100__ $$aFernández, M.
000077228 245__ $$aThe Laplacian flow of locally conformal calibrated G2-structures
000077228 260__ $$c2019
000077228 5060_ $$aAccess copy available to the general public$$fUnrestricted
000077228 5203_ $$aWe 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.
000077228 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-17R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-54804-P$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P
000077228 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000077228 592__ $$a0.314$$b2019
000077228 593__ $$aGeometry and Topology$$c2019$$dQ3
000077228 593__ $$aAnalysis$$c2019$$dQ3
000077228 593__ $$aMathematical Physics$$c2019$$dQ3
000077228 593__ $$aLogic$$c2019$$dQ3
000077228 593__ $$aAlgebra and Number Theory$$c2019$$dQ4
000077228 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000077228 700__ $$0(orcid)0000-0001-9884-7995$$aManero, V.$$uUniversidad de Zaragoza
000077228 700__ $$aSánchez, J.
000077228 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática
000077228 773__ $$g8, 1 (2019), 7 [15 pp]$$pAxioms$$tAxioms$$x2075-1680
000077228 8564_ $$s257664$$uhttps://zaguan.unizar.es/record/77228/files/texto_completo.pdf$$yVersión publicada
000077228 8564_ $$s86088$$uhttps://zaguan.unizar.es/record/77228/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000077228 909CO $$ooai:zaguan.unizar.es:77228$$particulos$$pdriver
000077228 951__ $$a2023-09-21-13:28:42
000077228 980__ $$aARTICLE