Almost non-positive Kähler manifolds

This paper proves that the universal covering of a compact Kähler manifold with small positive sectional curvature in a certain sense is contractible.

Authors

Yuguang Zhang (ORCID: https://orcid.org/0000-0001-7367-4151)

Institutions

Xi’an Jiaotong-Liverpool University (CN)

Publication Details

Journal: Communications in Contemporary Mathematics
Published: 2025-02-03
DOI: https://doi.org/10.1142/s021919972550021x
Primary Topic: Geometry and complex manifolds
Type: article
Field-Weighted Citation Impact: 0.00

Controls

|||

ALL TIME

JAN

FEB

MAR

APR

MAY

JUN

JUL

AUG

SEP

OCT

article

Almost non-positive Kähler manifolds

Yuguang Zhang

Feb 3, 2025

Communications in Contemporary Mathematics

Geometry and complex manifolds

article

Almost non-positive Kähler manifolds

Yuguang Zhang

February 3, 2025article en

Abstract

This paper proves that the universal covering of a compact Kähler manifold with small positive sectional curvature in a certain sense is contractible.

Communications in Contemporary MathematicsVol. 27(10)

Xi’an Jiaotong-Liverpool University (CN)

Openalex Percentile: Top 95%

Geometry and complex manifolds

DOI Source OpenAlex

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.

Almost non-positive Kähler manifolds — Yuguang Zhang · Communications in Contemporary Mathematics (2025) | TGRS Research Map | TGRS