The serre duality theorem for a non-compact weighted CR manifold

Mitsuhiro Itoh; Jun Masamune; Takanari Saotome

doi:10.1090/S0002-9939-08-09498-7

The serre duality theorem for a non-compact weighted CR manifold

Mitsuhiro Itoh, Jun Masamune, Takanari Saotome

SCI - Mathematics

University of Tsukuba

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that the Hodge decomposition and Serre duality hold on a non-compact weighted CR manifold with negligible boundary. A complete CR manifold has negligible boundary. Some examples of complete CR manifolds are presented.

Original language	English
Pages (from-to)	3539-3548
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	136
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-08-09498-7
Publication status	Published - 2008 Oct

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title = "The serre duality theorem for a non-compact weighted CR manifold",

abstract = "It is proved that the Hodge decomposition and Serre duality hold on a non-compact weighted CR manifold with negligible boundary. A complete CR manifold has negligible boundary. Some examples of complete CR manifolds are presented.",

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The serre duality theorem for a non-compact weighted CR manifold

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