Every quasitoric manifold admits an invariant metric of positive scalar curvature

TL;DR

This paper proves that all quasitoric manifolds can be equipped with an invariant metric that has positive scalar curvature, expanding the understanding of geometric structures on these manifolds.

Contribution

It establishes that every quasitoric manifold admits an invariant metric with positive scalar curvature, a previously unknown universal property.

Findings

All quasitoric manifolds admit positive scalar curvature metrics.

The metrics can be chosen to be invariant under the quasitoric action.

This result broadens the class of manifolds known to support positive scalar curvature.

Abstract

We prove that every quasitoric manifold admits an invariant metric of positive scalar curvature.