Almost non-positive Kähler manifolds

Yuguang Zhang

doi:10.1142/S021919972550021X

Almost non-positive Kähler manifolds

Yuguang Zhang^*

^*Corresponding author for this work

Department of Pure Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Article number	2550021
Journal	Communications in Contemporary Mathematics
Volume	27
Issue number	10
DOIs	https://doi.org/10.1142/S021919972550021X
Publication status	Published - 21 Feb 2025

Keywords

Kähler manifold
almost non-positive curvature
universal covering space

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10.1142/S021919972550021X

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title = "Almost non-positive K{\"a}hler manifolds",

abstract = "This paper proves that the universal covering of a compact K{\"a}hler manifold with small positive sectional curvature in a certain sense is contractible.",

keywords = "K{\"a}hler manifold, almost non-positive curvature, universal covering space",

author = "Yuguang Zhang",

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doi = "10.1142/S021919972550021X",

language = "English",

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N2 - This paper proves that the universal covering of a compact Kähler manifold with small positive sectional curvature in a certain sense is contractible.

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

KW - Kähler manifold

KW - almost non-positive curvature

KW - universal covering space

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DO - 10.1142/S021919972550021X

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SN - 0219-1997

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ER -

Almost non-positive Kähler manifolds

Abstract

Keywords

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