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The Bochner-Kodaira-Nakano formula for line bundles on CR manifolds with transversal CR R-action
by Huan Wang

Vol. 16 No. 2 (2021) P.127~P.164
 DOI: https://doi.org/10.21915/BIMAS.2021202 10.21915/BIMAS.2021202

ABSTRACT

We prove the generalized Kahler identities for line bundles on CR manifolds with transversal CR $\mathbb{R}$-action and reproduce the Bochner-Kodaira-Nakano formulas by the standard approach, in which the contribution from the curvature of line bundle and Levi form is explicitly expressed. The related results and various cohomology vanishing theorems are given.

KEYWORDS
CR manifolds, Kohn Laplacian, Bochner-Kodaira-Nakano formula.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 32A50

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