# A note on singular points of bundle homomorphisms from a tangent distribution into a vector bundle of the same rank

## TL;DR

This paper investigates the singularities of bundle homomorphisms from tangent distributions to vector bundles of the same rank, especially those induced by Morin maps and contact structures, using Hamilton vector fields.

## Contribution

It characterizes fundamental singularities of such bundle homomorphisms, particularly in the context of contact structures, providing new insights into their geometric properties.

## Key findings

- Conditions for fundamental singularities identified
- Characterization of singularities via Hamilton vector fields
- Application to contact structures

## Abstract

We consider bundle homomorphisms between tangent distributions and vector bundles of the same rank. We study the conditions for fundamental singularities when the bundle homomorphism is induced from a Morin map. When the tangent distribution is the contact structure, we characterize singularities of the bundle homomorphism by using the Hamilton vector fields.