On the extrinsic geometry of contact structures

TL;DR

This paper investigates the relationship between extrinsic curvature and the topology of contact structures, demonstrating that extrinsic curvature constraints do not limit the possible topologies beyond obvious restrictions.

Contribution

It proves that extrinsic curvature does not impose additional topological restrictions on contact structures beyond the obvious ones.

Findings

Extrinsic curvature does not restrict contact structure topology

Topological restrictions are only the obvious ones

Results clarify the relationship between geometry and topology in contact structures

Abstract

In the paper we prove, that extrinsic curvature does not impose restrictions on the topology of a contact structure, except the obvious ones.