The topology of quaternionic contact manifolds

2014/02/07 by Robert K. Hladky, Hladky, Robert K.
Mathematics · #53C17 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #math.DG #msc:53C17 #msc:53C25

paper · pdf · doi:10.48550/arxiv.1402.1775

arxiv created 2014/02/07 · openalex publication_date 2014/02/07 · arxiv updated 2014/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We explore the consequences of curvature and torsion on the topology of quaternionic contact manifolds with integrable vertical distribution. We prove a general Myers theorem and establish a Cartan-Hadamard result for almost qc-Einstein manifolds.

Citations

• Quaternionic contact Einstein manifolds
• Quaternionic contact Einstein structures and the quaternionic contact Yamabe problem

Related

• Quaternionic contact Einstein manifolds
• Quaternionic contact structure with integrable complementary distribution
• Weyl connections and the local sphere theorem for quaternionic contact structures
• The Almost Schur Lemma in Quaternionic Contact Geometry
• The twistor space of a quaternionic contact manifold