Einstein Warped G 2 and Spin(7) Manifolds

Manero, V. (Universidad de Zaragoza) ; Ugarte, L. (Universidad de Zaragoza)

Resumen: In this paper most of the classes of G 2 -structures with Einstein induced metric of negative, null, or positive scalar curvature are realized. This is carried out by means of warped G 2 -structures with fiber an Einstein SU(3) manifold. The torsion forms of any warped G 2 -structure are explicitly described in terms of the torsion forms of the SU(3)-structure and the warping function, which allows to give characterizations of the principal classes of Einstein warped G 2 manifolds. Similar results are obtained for Einstein warped Spin(7) manifolds with fiber a G 2 manifold.

Idioma: Inglés

DOI: 10.1007/s00220-019-03355-1

Año: 2019

Publicado en: Communications in Mathematical Physics 369, 2 (2019), 637-673
ISSN: 0010-3616

Factor impacto JCR: 2.102 (2019)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 13 / 55 = 0.236 (2019) - Q1 - T1

Factor impacto SCIMAGO: 1.592 - Statistical and Nonlinear Physics (Q1) - Mathematical Physics (Q1)

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

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Geometría y Topología (Dpto. Matemáticas)
Área (Departamento): Área Didáctica Matemática (Dpto. Matemáticas)