Sasakian metrics with an additional contact structure

2012/12/29 by Tedi Drăghici, Draghici, Tedi, Philippe Rukimbira +1
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1212.6581

openalex publication_date 2012/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The question of whether a Sasakian metric can admit an additional compatible (K-)contact structure is addressed. In the complete case if the second structure is also assumed Sasakian, works of Tachibana-Yu and Tanno show that the manifold must be 3-Sasakian or an odd dimensional sphere with constant curvature. Some extensions of this result are obtained, mainly in dimensions 3 and 5.

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