On the classification of contact metric $(k,\mu)$-spaces via tangent hyperquadric bundles

TL;DR

This paper classifies certain contact metric (k,mu)-spaces with specific invariants as tangent hyperquadric bundles of Lorentzian space forms, providing a local classification in differential geometry.

Contribution

It offers a local classification of contact metric (k,mu)-spaces with Boeckx invariant ≤ -1 as tangent hyperquadric bundles, linking geometric structures to Lorentzian space forms.

Findings

Classifies contact metric (k,mu)-spaces with invariant ≤ -1

Identifies these spaces as tangent hyperquadric bundles

Provides a local geometric characterization

Abstract

We classify locally the contact metric (k,mu)-spaces whose Boeckx invariant is $\le -1$ as tangent hyperquadric bundles of Lorentzian space forms.