Examples of 3-quasi-Sasakian manifolds
Beniamino Cappelletti-Montano, Antonio De Nicola, Ivan Yudin

TL;DR
This paper introduces a general method for constructing quasi-Sasakian 3-structures on high-dimensional manifolds and presents the first explicit example of a compact 3-quasi-Sasakian manifold that is not a simple product of known special manifolds.
Contribution
It provides a new construction technique for quasi-Sasakian 3-structures and offers the first explicit non-product example of a compact 3-quasi-Sasakian manifold.
Findings
General construction method for quasi-Sasakian 3-structures
First explicit non-product compact 3-quasi-Sasakian manifold
New insights into manifold structures with special geometric properties
Abstract
We provide a general method to construct examples of quasi-Sasakian 3-structures on a (4n+3)-dimensional manifold. Moreover, among this class, we give the first explicit example of a compact 3-quasi-Sasakian manifold which is not the global product of a 3-Sasakian manifold and a hyper-K\"ahler manifold.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology
