000106155 001__ 106155
000106155 005__ 20230519145355.0
000106155 0247_ $$2doi$$a10.1007/s00229-020-01205-2
000106155 0248_ $$2sideral$$a118694
000106155 037__ $$aART-2021-118694
000106155 041__ $$aeng
000106155 100__ $$0(orcid)0000-0001-9884-7995$$aManero, Víctor$$uUniversidad de Zaragoza
000106155 245__ $$aSolutions of the Laplacian flow and coflow of a locally conformal parallel G2-structure
000106155 260__ $$c2021
000106155 5060_ $$aAccess copy available to the general public$$fUnrestricted
000106155 5203_ $$aWe 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).
000106155 536__ $$9info:eu-repo/grantAgreement/ES/DGA/E22-17R$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P$$9info:eu-repo/grantAgreement/ES/UZ/CUD2019-CIE-02
000106155 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/
000106155 590__ $$a0.64$$b2021
000106155 591__ $$aMATHEMATICS$$b258 / 333 = 0.775$$c2021$$dQ4$$eT3
000106155 594__ $$a1.4$$b2021
000106155 592__ $$a0.709$$b2021
000106155 593__ $$aMathematics (miscellaneous)$$c2021$$dQ2
000106155 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000106155 700__ $$0(orcid)0000-0002-1567-7159$$aOtal, Antonio$$uUniversidad de Zaragoza
000106155 700__ $$0(orcid)0000-0001-6790-7342$$aVillacampa, Raquel
000106155 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000106155 7102_ $$12006$$2200$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Didáctica Matemática
000106155 773__ $$g165 (2021), 61–87$$pManuscr. math.$$tManuscripta Mathematica$$x0025-2611
000106155 8564_ $$s382868$$uhttps://zaguan.unizar.es/record/106155/files/texto_completo.pdf$$yPostprint
000106155 8564_ $$s1466586$$uhttps://zaguan.unizar.es/record/106155/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000106155 909CO $$ooai:zaguan.unizar.es:106155$$particulos$$pdriver
000106155 951__ $$a2023-05-18-13:32:12
000106155 980__ $$aARTICLE