# Generic Singularities of the 3D-Contact sub-Riemannian Conjugate Locus

## TL;DR

This paper classifies the typical singularities of the conjugate locus in 3D-contact sub-Riemannian geometry, providing a comprehensive understanding of their structure near the origin.

## Contribution

It extends and completes the classification of generic singularities of the 3D-contact sub-Riemannian conjugate locus near the origin.

## Key findings

- Complete classification of singularities near the origin
- Identification of generic singularity types
- Enhanced understanding of conjugate locus structure

## Abstract

In this paper, we extend and complete the classification of the generic singularities of the 3D-contact sub-Riemmanian conjugate locus in a neighbourhood of the origin.