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Bibliographic Details
Main Author: Ma, Yi
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2404.08830
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author Ma, Yi
author_facet Ma, Yi
contents 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-Kähler hyperbolic structures and pluriclosed star split hyperbolic metrics as possible new avenues for exploration.
format Preprint
id arxiv_https___arxiv_org_abs_2404_08830
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Strongly Gauduchon Hyperbolicity and Two Other Types of Hyperbolicity
Ma, Yi
Differential Geometry
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-Kähler hyperbolic structures and pluriclosed star split hyperbolic metrics as possible new avenues for exploration.
title Strongly Gauduchon Hyperbolicity and Two Other Types of Hyperbolicity
topic Differential Geometry
url https://arxiv.org/abs/2404.08830