Splitting Parabolic Manifolds

2014/09/13 by Morris Kalka, Kalka, Morris, Giorgio Patrizio +1
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals #math.CV

paper · pdf · doi:10.48550/arxiv.1409.3972

To appear in Rivista di Matematica dell'Universita' di Parma

arxiv created 2014/09/13 · openalex publication_date 2014/09/13 · arxiv updated 2014/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the geometric properties of complex manifolds possessing a pair of plurisubharmonic functions satisfying Monge-Ampère type of condition. The results are applied to characterize complex manifolds biholomorphic to \C^N viewed as a product of lower dimensional complex euclidean spaces.

Related

• Monge-Ampère exhaustions of almost homogeneous manifolds
• Plurisubharmonically separable complex manifolds
• Constructing strictly plurisubharmonic functions on the complexification of certain non-compact manifolds
• Maximal plurisubharmonic models
• To the geometry of spaces of plurisubharmonic functions on a Kähler manifold