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2021 / June Volume 16 No.2
The Bochner-Kodaira-Nakano formula for line bundles on CR manifolds with transversal CR R-action
Published Date
2021 / June
Title
The Bochner-Kodaira-Nakano formula for line bundles on CR manifolds with transversal CR R-action
Author
Huan Wang
Keyword
CR manifolds, Kohn Laplacian, Bochner-Kodaira-Nakano formula.
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Pagination
127-164
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.
DOI
10.21915/BIMAS.2021202
https://doi.org/10.21915/BIMAS.2021202
AMS Subject
Classification
32A50
Received
2021-05-15
Accepted
2021-06-21
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