K\"ahler-Einstein metrics of negative curvature

Given any integer $n\geq 2$, we construct a compact K"ahler-Einstein manifold of dimension n of negative sectional curvature which is not covered by the ball.

Authors

Ursula Hamenstädt (ORCID: https://orcid.org/0000-0001-5417-1460)
Henri Guenancia (ORCID: https://orcid.org/0000-0001-6528-2975)

Institutions

University of Bonn (DE)
Institut de Mathématiques de Bordeaux (FR)

Publication Details

Journal: ArXiv.org
Published: 2025-03-04
Primary Topic: Geometry and complex manifolds
Type: article
Field-Weighted Citation Impact: 0.00

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article

K\"ahler-Einstein metrics of negative curvature

Ursula Hamenstädt, Henri Guenancia

Mar 4, 2025

ArXiv.org

Geometry and complex manifolds

article

K\"ahler-Einstein metrics of negative curvature

Ursula Hamenstädt, Henri Guenancia

March 4, 2025article en

Abstract

Given any integer $n\geq 2$, we construct a compact K\"ahler-Einstein manifold of dimension n of negative sectional curvature which is not covered by the ball.

ArXiv.org

University of Bonn (DE), Institut de Mathématiques de Bordeaux (FR)

Openalex Percentile: Top 69%

Geometry and complex manifolds

Open Access PDF OpenAlex

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K\"ahler-Einstein metrics of negative curvature — Ursula Hamenstädt, Henri Guenancia · ArXiv.org (2025) | TGRS Research Map | TGRS