Invariant torsion and \(\mathrm{G}_2\)-metrics
type: Item
instance of: scholarly article
title: Invariant torsion and \(\mathrm{G}_2\)-metrics
zbMATH Open document ID: 1330.53063
author: Diego Conti
author: Thomas Bruun Madsen
published in: Complex Manifolds
publication date: 2015-11-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1410.6173
Mathematics Subject Classification ID: 53C29
Mathematics Subject Classification ID: 53C27
zbMATH DE Number: 6505821
zbMATH Keywords: Bryant-Salamon metric
zbMATH Keywords: spinor bundle
zbMATH Keywords: \(\mathrm{G}_2\) holonomy
zbMATH Keywords: invariant intrinsic torsion
MaRDI profile type: Publication
OpenAlex ID: W3099405687
arXiv ID: 1410.6173
cites work: The classification of naturally reductive homogeneous spaces in dimensions \(n\leq 6\)
cites work: On homogeneous Riemannian manifolds
cites work: M-theory dynamics on a manifold of \(G_2\) holonomy
cites work: Complete Riemannian metrics with holonomy group \(G_2\) on deformations of cones over \(S^3\times S^3\)
cites work: The Ricci tensor of SU(3)-manifolds
cites work: On the boundary behavior of left-invariant Hitchin and hypo flows
cites work: Q5345512
cites work: Gauge theory at large \(N\) and new \(G_2\) holonomy metrics
cites work: Calibrated embeddings in the special Lagrangian and coassociative cases
cites work: Nonembedding and nonextension results in special holonomy
cites work: On the construction of some complete metrics with exceptional holonomy
cites work: SO(3)-structures on 8-manifolds
cites work: Q3150749
cites work: General metrics of \(G_2\) holonomy and contraction limits
cites work: Cohomogeneity-one \(G_{2}\)-structures
cites work: Einstein metrics via intrinsic or parallel torsion
cites work: Harmonic structures and intrinsic torsion
cites work: Cohomogeneity one manifolds of spin(7) and \(G_{2}\) holonomy
cites work: Supersymmetric domain walls from metrics of special holonomy
cites work: Q4532245
cites work: Deformation theory of \(\mathrm{G}_2\) conifolds
cites work: Q5731354
cites work: Compact homogeneous Einstein 6-manifolds.
cites work: A generalization of the notion of instanton
cites work: Q4747189
DOI: 10.1515/COMA-2015-0011
Recommended article: \(L^ 2\)-torsion invariants
Recommended article: Q4326597
Recommended article: Geometry of \(G\)-structures via the intrinsic torsion
Recommended article: Torsion-free G2-structures with identical Riemannian metric
Recommended article: Q3615746
Recommended article: Invariant connections with skew-torsion and \(\nabla\)-Einstein manifolds
Recommended article: Deformations of \(G_2\)-structures with torsion
Recommended article: Einstein metrics via intrinsic or parallel torsion
Recommended article: 2-Torsion Instanton Invariants
Recommended article: Invariant structures and gauge transformation of almost contact metric manifolds
description: scientific article