A-manifolds on a principal torus bundle over an A-manifold base

2014/06/10 by Grzegorz Zborowski, Zborowski, Grzegorz
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.DG

paper · pdf · doi:10.48550/arxiv.1406.2465

openalex publication_date 2014/06/10 · arxiv created 2014/06/11 · arxiv updated 2014/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct new examples of manifolds with cyclic-parallel Ricci tensor, so called A-manifolds, on a r-torus bundle over a product of almost Hodge A-manifolds.

Citations

• Conformal Killing forms on Riemannian manifolds

Related

• Construction of an A-manifold on a principal torus bundle
• Ricci Flow on Torus Bundles
• Complete non-compact Spin(7)-manifolds from T²-bundles over AC Calabi Yau manifolds
• Almost Parallel Structures
• The structure of AK₂-manifolds