Hermitian metrics with vanishing second Chern Ricci curvature
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.
Authors
- Artem Pulemotov (ORCID: https://orcid.org/0000-0003-0647-8630)
- Kyle Broder (ORCID: https://orcid.org/0000-0003-1842-5763)
Institutions
- The University of Queensland (AU)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2024-11-06
- DOI
- https://doi.org/10.1112/blms.13179
- Citations
- 2
- Primary Topic
- Geometry and complex manifolds
- Type
- article
- Field-Weighted Citation Impact
- 2.02