Sur l’identité de Bochner-Kodaira-Nakano en géométrie hermitienne. (The Bochner-Kodaira-Nakano identity in hermitian geometry). (French) Zbl 0594.32031

Sémin. analyse P. Lelong - P. Dolbeault - H. Skoda, Années 1983/84, Lect. Notes Math. 1198, 88-97 (1986).
[For the entire collection see Zbl 0583.00011.]
It is obtained a generalized Kodaira-Nakano identity, relating the holomorphic and anti-holomorphic Laplace-Beltrami operators of a holomorphic hermitian vector bundle over a complex hermitian manifold.
Reviewer: A.Pankov


32L05 Holomorphic bundles and generalizations
32Q99 Complex manifolds
53C55 Global differential geometry of Hermitian and Kählerian manifolds


Zbl 0583.00011