Work

Hermitian metrics with vanishing second Chern Ricci curvature

Year: 2024

Type: article

Abstract: We describe a rigidity phenomenon exhibited by the second Chern Ricci curvature of a Hermitian metric on a compact complex manifold. This yields a characterisation of second Chern Ricci‐flat Hermitian metrics on several types of manifolds as well as a range of non‐existence results for such metrics.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.13179

Authors: Kyle Broder, Artem Pulemotov

Institution: The University of Queensland

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4404111635

FWCI: 1.34

Cites: 26

Cited by: 2

Related to: 10