A Comparative Study between K\"ahler and Non-K\"ahler Hyperbolicity
Samir Marouani
TL;DR
This paper explores the relationships between different types of hyperbolicity in complex geometry, specifically comparing Kähler and non-Kähler hyperbolic structures and their connections to SKT and balanced hyperbolicity.
Contribution
It establishes new links between SKT, balanced hyperbolicity, and Kähler hyperbolicity, clarifying their interrelations in complex geometry.
Findings
Identifies connections between SKT and balanced hyperbolicity.
Highlights the relationship of these concepts with Gromov's Kähler hyperbolicity.
Provides a comparative framework for different hyperbolic structures.
Abstract
In this note, we establish a connection between SKT and balanced hyperbolicity, highlighting their relationship with K\"ahler hyperbolicity in the sense of Gromov.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Geometric Analysis and Curvature Flows