Mixed metric 3-contact manifolds and paraquaternionic Kähler manifolds

2008/03/20 by Angelo V. Caldarella, Caldarella, Angelo V., Anna Maria Pastore +1
Mathematics · Physics and Astronomy · #53C15 #53C25 #53C26 #53C50 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C15 #msc:53C25 #msc:53C26 #msc:53C50

paper · pdf · doi:10.48550/arxiv.0803.2974

This paper has been withdrawn by the author(s)

openalex publication_date 2008/03/20 · arxiv created 2008/06/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study manifolds endowed with mixed metric 3--contact structures, proving that the distribution spanned by the Reeb vector fields is integrable, with totally geodesic integral manifolds, of constant sectional curvature k=±1. We also prove a result of projectability of such structures onto paraquaternionic Kählerian structures.

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