# Radially symmetric connections over round spheres

## TL;DR

This paper classifies radially symmetric connections on vector bundles over round spheres, demonstrating that all such connections are parallel, thus providing a complete characterization of their structure.

## Contribution

It proves that all radially symmetric connections over round spheres are parallel, offering a complete classification of these connections.

## Key findings

- All radially symmetric connections are parallel.
- Complete classification of radially symmetric connections.
- Simplifies understanding of vector bundle connections on spheres.

## Abstract

We classify the radially symmetric connections in vector bundles over round spheres by proving that they are all parallel.