Conformal product structures on compact Kähler manifolds

2024/05/14 by Moroianu, Andrei, Pilca, Mihaela · 3 citations
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.08430

Abstract

A conformal product structure on a Riemannian manifold is a Weyl connection with reducible holonomy. We give the geometric description of all compact Kähler manifolds admitting conformal product structures

Cited by

• On Weyl structures reducible in the direction of the Lee form
• Reducible Riemannian manifolds with conformal product structures
• Conformal product structures on compact manifolds with constant sectional curvature

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• Weyl structures with special holonomy on compact conformal manifolds
• Reducible Riemannian manifolds with conformal product structures
• Warped Product Conformal Kahler Manifolds and Kenmotsu Structures
• The structure of locally conformally product Lie algebras
• Transformations of compact locally conformally Kähler manifolds