Local Type I Metrics with Holonomy in G₂*

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Fino, A., Kath, I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209769
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Local Type I Metrics with Holonomy in G₂* / A. Fino, I. Kath // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 14 назв. — англ.

By [arXiv:1604.00528], a list of possible holonomy algebras for pseudo-Riemannian manifolds with an indecomposable torsion-free G₂*-structure is known. Here, indecomposability means that the standard representation of the algebra on R⁴,³ does not leave invariant any proper non-degenerate subspace. T...