Rate of asymptotic convergence near isolated singularity of G${}_2$ manifold

Abstract

In this paper, a metric with G${}_2$ holonomy and slow rate of convergence to the cone metric is constructed on a ball inside the cone over the flag manifold.

References in corpus (3)

• Deformation theory of nearly Kähler manifolds
• Calabi-Yau manifolds with isolated conical singularities
• An elliptic theory of indicial weights and applications to non-linear geometry problems

Cited by in corpus (2)

• No semistability at infinity for Calabi-Yau metrics asymptotic to cones
• Isolated singularities in $G_2$-structures with torsion