Hermitian metrics with vanishing second Chern Ricci curvature
arXiv:2309.10295
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.
arXiv comment11 pages