Compact solvmanifolds with calibrated and cocalibrated G2-structures

Manero García, Víctor Manuel (Universidad de Zaragoza)

Resumen: We give a method to obtain new solvable 7-dimensional Lie algebras endowed with closed and coclosed G2-structures starting from 6-dimensional solvable Lie algebras with symplectic half-flat and half-flat SU(3)-structures, respectively. Provided the existence of a lattice for the corresponding Lie groups we obtain new examples of compact solvmanifolds endowed with calibrated and cocalibrated G2-structures. As an application of this construction we also obtain a formal compact solvmanifold with first Betti number b1=1 endowed with a calibrated G2-structure and such that does not admit any invariant torsion-free G2-structure.

Idioma: Inglés

DOI: 10.1007/s00229-019-01133-w

Año: 2020

Publicado en: Manuscripta Mathematica 162, 3-4 (2020), 315-339
ISSN: 0025-2611

Factor impacto JCR: 0.839 (2020)

Categ. JCR: MATHEMATICS rank: 201 / 330 = 0.609 (2020) - Q3 - T2

Factor impacto SCIMAGO: 0.752 - Mathematics (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/AEI-FEDER/MTM2017-85649-P
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/E22-17R

Tipo y forma: Artículo (PostPrint)

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