What question did this study set out to answer?

The aim is to explore manifolds with certain positive and hyperbolic properties, particularly focusing on Kähler hyperbolicity.

January 23, 2026Proceedings of the Steklov Institute of MathematicsOpen Access

From Kähler Hyperbolicity to Balanced Hyperbolicity

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The aim is to explore manifolds with certain positive and hyperbolic properties, particularly focusing on Kähler hyperbolicity.
Reviewed existing literature on Kähler hyperbolicity.
Explored applications of hyperbolic classes in various contexts.
Discussed achievements in generalizing these concepts as birational invariants.
Established connections between Kähler hyperbolicity and broader classes of hyperbolic objects.
Highlighted several applications of these properties in geometry and topology.

Implication

This overview describes kähler hyperbolicity and its applications, highlighting its generalization as a birational invariant.

Abstract

We give an overview of the study of manifolds possessing certain positive and hyperbolic classes. Starting from Gromov’s Kähler hyperbolicity, we describe some of its applications and some achievements in generalizing it as a birational invariant.

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Cite This Study

Fu et al. (2025) studied this question.

synapsesocial.com/papers/69730f9fc8125b09b0d1f6e9 https://doi.org/10.1134/s0081543825601066

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Implication

This overview describes kähler hyperbolicity and its applications, highlighting its generalization as a birational invariant.

From Kähler Hyperbolicity to Balanced Hyperbolicity

Key Points

Implication

Abstract

Discussion

Cite This Study

From Kähler Hyperbolicity to Balanced Hyperbolicity

Key Points

Implication

Abstract

Discussion

Cite This Study

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