# Bochner–Kodaira–Nakano identity

> analogue of the Weitzenböck identity for Hermitian manifolds, relating the antiholomorphic Laplacian of a vector bundle over a Hermitian manifold to the vector bundle curvature and the metric torsion

**Wikidata**: [Q4936245](https://www.wikidata.org/wiki/Q4936245)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Bochner–Kodaira–Nakano_identity)  
**Source**: https://4ort.xyz/entity/bochner-kodaira-nakano-identity