Nilpotent aspherical Sasakian manifolds

TL;DR

This paper proves that all compact aspherical Sasakian manifolds with nilpotent fundamental groups are diffeomorphic to Heisenberg nilmanifolds, linking geometric structures to algebraic properties.

Contribution

It establishes a classification result connecting Sasakian geometry with nilpotent fundamental groups, identifying these manifolds as Heisenberg nilmanifolds.

Findings

Every such manifold is diffeomorphic to a Heisenberg nilmanifold.

The fundamental group being nilpotent characterizes the manifold's structure.

The result bridges Sasakian geometry and nilpotent Lie group theory.

Abstract

We show that every compact aspherical Sasakian manifold with nilpotent fundamental group is diffeomorphic to a Heisenberg nilmanifold.