Contact geometry and the Poincar\'e conjecture

TL;DR

This paper presents a novel proof of the Poincaré conjecture utilizing contact geometry and the contact Ricci flow linked to the Reeb vector field, offering a new geometric approach.

Contribution

It introduces a new proof method for the Poincaré conjecture based on contact geometry and the contact Ricci flow, differing from previous approaches.

Findings

Proof of the Poincaré conjecture using contact Ricci flow.

Establishment of a connection between contact geometry and topological classification.

Simplification of the proof process through contact geometric techniques.

Abstract

We give a simple proof of the Poincar\'e conjecture by using the contact Ricci flow associated with the Reeb vector field.