From Kähler Hyperbolicity to Balanced Hyperbolicity

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.

Authors

Institutions

Publication Details

Journal
Proceedings of the Steklov Institute of Mathematics
Published
2025-09-01
DOI
https://doi.org/10.1134/s0081543825601066
Primary Topic
Geometry and complex manifolds
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

From Kähler Hyperbolicity to Balanced Hyperbolicity

Jixiang Fu, Hongjie Wang, Jingcao Wu
Proceedings of the Steklov Institute of Mathematics
Geometry and complex manifolds
article

From Kähler Hyperbolicity to Balanced Hyperbolicity

Jixiang Fu, Hongjie Wang, Jingcao Wu
article en

Abstract

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.

Proceedings of the Steklov Institute of MathematicsVol. 330(1)
Shanghai University of Finance and Economics (CN), Fudan University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 17%
Geometry and complex manifolds
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

From Kähler Hyperbolicity to Balanced Hyperbolicity — Jixiang Fu, Hongjie Wang, et al. · Proceedings of the Steklov Institute of Mathematics (2025) | TGRS Research Map | TGRS