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

Itoh, Mitsuhiro; Masamune, Jun; Saotome, Takanari

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

The Serre duality theorem for a non-compact weighted CR manifold
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by Mitsuhiro Itoh, Jun Masamune and Takanari Saotome PDF

Proc. Amer. Math. Soc. 136 (2008), 3539-3548 Request permission

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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