Construction of an A-manifold on a principal torus bundle

2012/05/31 by Grzegorz Zborowski, Zborowski, Grzegorz
Mathematics · #53C25 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53C25

paper · pdf · doi:10.48550/arxiv.1205.7077

openalex publication_date 2012/05/31 · arxiv created 2012/12/26 · arxiv updated 2012/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a new example of an A-manifold, i.e. a Riemannian manifold with a cyclic-parallel Ricci tensor, which can be viewed as a generalization of the Einstein condition. The underlying manifold for our construction is a principal torus bundle over Kähler-Einstein manifold a with fibre a torus of arbitrary dimension.

Related

• A-manifolds on a principal torus bundle over an A-manifold base
• On some classes of Riemannian manifolds
• Einstein Metrics via Intrinsic or Parallel Torsion
• Ricci Flow on Torus Bundles
• Kähler-Einstein metrics and higher alpha-invariants