Solutions of the Laplacian flow and coflow of a locally conformal parallel G2-structure

Manero, Víctor (Universidad de Zaragoza) ; Otal, Antonio (Universidad de Zaragoza) ; Villacampa, Raquel

Resumen: 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).

Idioma: Inglés

DOI: 10.1007/s00229-020-01205-2

Año: 2021

Publicado en: Manuscripta Mathematica 165 (2021), 61–87
ISSN: 0025-2611

Factor impacto JCR: 0.64 (2021)

Categ. JCR: MATHEMATICS rank: 258 / 333 = 0.775 (2021) - Q4 - T3

Factor impacto CITESCORE: 1.4 - Mathematics (Q3)

Factor impacto SCIMAGO: 0.709 - Mathematics (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E22-17R
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2017-85649-P
Financiación: info:eu-repo/grantAgreement/ES/UZ/CUD2019-CIE-02

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Didáctica Matemática (Dpto. Matemáticas)