# Rate of asymptotic convergence near isolated singularity of G$_2$   manifold

**Authors:** Gao Chen

arXiv: 1703.08528 · 2019-05-28

## TL;DR

This paper constructs a G2 holonomy metric with a slow convergence rate to the cone metric near an isolated singularity on a specific geometric space.

## Contribution

It introduces a new G2 holonomy metric with a unique slow convergence behavior near an isolated singularity.

## Key findings

- Constructed a G2 metric with slow convergence rate
- Analyzed the behavior near the isolated singularity
- Provides insights into the geometry of G2 manifolds

## 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.

## Full text

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## References

22 references — full list in the complete paper: https://tomesphere.com/paper/1703.08528/full.md

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Source: https://tomesphere.com/paper/1703.08528