Work

Einstein metrics on the ten-sphere

Year: 2025

Type: article

Abstract: We prove the existence of three non-round, non-isometric Einstein metrics with positive scalar curvature on the sphere S^{10} . Previously, the only even-dimensional spheres known to admit non-round Einstein metrics were S^{6} and S^{8} .

Source: Journal of the European Mathematical Society

DOI: 10.4171/jems/1668

Authors: Jan Nienhaus, Matthias Wink

Institutions: University of California, Los Angeles, University of California, Santa Barbara

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Alexander von Humboldt-Stiftung, Deutsche Forschungsgemeinschaft, Bundesministerium für Bildung und Forschung

Awards: G1652504919, EXC 2044: Mathematik Münster: Dynamik – Geometrie – Struktur, G6938060324

OpenAlex ID: W4410875177

FWCI: 1.87

Cites:

Cited by: 1

Related to: 10