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arXiv · 2309.10295

Hermitian metrics with vanishing second Chern Ricci curvature

Kyle Broder·Artem Pulemotov
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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.

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Kyle Broder, Artem Pulemotov. 2023-09-19. Hermitian metrics with vanishing second Chern Ricci curvature. https://arxiv.org/abs/2309.10295

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