Laplacian coflow for warped G2-structures

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

Resumen: We consider the Laplacian coflow of a G2-structure on warped products of the form M7=M6×fS1 with M6 a compact 6-manifold endowed with an SU(3)-structure. We give an explicit reinterpretation of this flow as a set of evolution equations of the differential forms defining the SU(3)-structure on M6 and the warping function f. Necessary and sufficient conditions for the existence of solution for this flow are given. Finally we describe new solutions for this flow where the SU(3)-structure on M6 is nearly Kähler, symplectic half-flat or balanced. © 2020 Elsevier B.V.

Idioma: Inglés

DOI: 10.1016/j.difgeo.2020.101593

Año: 2020

Publicado en: Differential Geometry and its Application 69 (2020), 101593 1-19
ISSN: 0926-2245

Originalmente disponible en: Texto completo de la revista

Factor impacto JCR: 0.694 (2020)

Categ. JCR: MATHEMATICS rank: 240 / 330 = 0.727 (2020) - Q3 - T3
Categ. JCR: MATHEMATICS, APPLIED rank: 238 / 265 = 0.898 (2020) - Q4 - T3

Factor impacto SCIMAGO: 0.551 - Analysis (Q2) - Geometry and Topology (Q2) - Computational Theory and Mathematics (Q2)

Tipo y forma: Article (PostPrint)

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