Strongly Gauduchon Hyperbolicity and Two Other Types of Hyperbolicity

Yi Ma

Strongly Gauduchon Hyperbolicity and Two Other Types of Hyperbolicity

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arxiv 2404.08830 v1 pith:A65P3KIA submitted 2024-04-12 math.DG

Yi Ma This is my paper

classification math.DG

keywords hyperbolicityhyperbolicmanifoldsahleravenuesbalancedclasscompared

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This paper proposes sG-hyperbolicity as a new tool for studying hyperbolicity on complex manifolds. It demonstrates that this notion leads to a wider class of divisorially hyperbolic manifolds compared to balanced hyperbolicity. We also introduce weakly p-K\"ahler hyperbolic structures and pluriclosed star split hyperbolic metrics as possible new avenues for exploration.

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Holomorphic Deformations of Compact K\"ahler Hyperbolic Manifolds
math.AG 2025-08 unverdicted novelty 4.0 of 10

The paper proposes modified versions of Kähler hyperbolicity as a first step toward deciding whether Gromov's property is open under holomorphic deformation; the body text is unreadable as posted.

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