Coclosed \(G_2\)-structures on \(\mathrm{SU}(2)^2\)-invariant cohomogeneity one manifolds
type: Item
instance of: scholarly article
title: Coclosed \(G_2\)-structures on \(\mathrm{SU}(2)^2\)-invariant cohomogeneity one manifolds
author: Izar Alonso
published in: Annals of Global Analysis and Geometry
publication date: 2025-01-08T00:00:00Z
Mathematics Subject Classification ID: 53C10
zbMATH DE Number: 7963308
zbMATH Keywords: \(G_2\)-structures
zbMATH Keywords: cohomogeneity one actions
zbMATH Keywords: differential geometry
MaRDI profile type: Publication
cites work: On the existence of balanced metrics on six-manifolds of cohomogeneity one
cites work: Q3333683
cites work: Complete Riemannian metrics with holonomy group \(G_2\) on deformations of cones over \(S^3\times S^3\)
cites work: Gauge theory at large \(N\) and new \(G_2\) holonomy metrics
cites work: On a new family of complete \(G_2\)-holonomy Riemannian metrics on \(S^3\times\mathbb R^4\)
cites work: Q5486936
cites work: On the construction of some complete metrics with exceptional holonomy
cites work: Instantons on the exceptional holonomy manifolds of Bryant and Salamon
cites work: New invariants of \(G_{2}\)-structures
cites work: Cohomogeneity-one \(G_{2}\)-structures
cites work: Almost contact structures on manifolds with a \(G_2\) structure
cites work: The initial value problem for cohomogeneity one Einstein metrics
cites work: Riemannian manifolds with structure group \(G_ 2\)
cites work: New \(\mathrm{G}_2\)-holonomy cones and exotic nearly Kähler structures on \(S^6\) and \(S^3\times S^3\)
cites work: Infinitely many new families of complete cohomogeneity one \(G_2\)-manifolds: \(G_2\) analogues of the Taub-NUT and Eguchi-Hanson spaces
cites work: Parallel spinors and connections with skew-symmetric torsion in string theory.
cites work: Killing spinor equations in dimension 7 and geometry of integrable \(G_{2}\)-manifolds
cites work: Heterotic domain wall solutions and \(\mathrm{SU}(3)\) structure manifolds
cites work: \(G\)-structures and wrapped NS\(5\)-branes
cites work: Vector Cross Products on Manifolds
cites work: The geometry of three-forms in six dimensions.
cites work: Classification of cohomogeneity one manifolds in low dimensions
cites work: Diffeomorphism type of six-dimensional cohomogeneity one manifolds
cites work: \(\text{SU}(3)\)-instantons and \(G_{2}\), \(\text{Spin}(7)\)-heterotic string solitons
cites work: Q4523708
cites work: G-structures and domain walls in heterotic theories
cites work: \(\operatorname{SU}(2)^2\)-invariant \(G_2\)-instantons
cites work: Sur les points singuliers des équations différentielles
cites work: Half-flat structures on \(S^3\times S^3\)
cites work: Nearly Parallel G2-structures with Large Symmetry Group
cites work: Spaces admitting homogeneous \(G_{2}\)-structures
cites work: Smoothness conditions in cohomogeneity one manifolds
cites work: On the geometry of cohomogeneity one manifolds with positive curvature
DOI: 10.1007/S10455-024-09981-W
description: scientific article; zbMATH DE number 7963308