Proceedings of the American Mathematical Society

Author(s): Mitsuhiro Itoh; Jun Masamune; Takanari Saotome
Journal: Proc. Amer. Math. Soc. 136 (2008), 3539-3548.
MSC (2000): Primary 32V20, 53C17; Secondary 58A14, 14F15
Posted: June 11, 2008
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 32V20, 53C17, 58A14, 14F15

Mitsuhiro Itoh
Affiliation: Institute of Mathematics, University of Tsukuba, 305-8751, Tsukuba, Japan
Email: itohm@sakura.cc.tsukuba.ac.jp

Jun Masamune
Affiliation: Department of Mathematical Sciences, Worcester Polytechnic Institute, 100 Institute Road, Worcester, Massachusetts 01609-2280
Email: masamune@wpi.edu

Takanari Saotome
Affiliation: Graduate School of Pure and Applied Sciences, University of Tsukuba, 305-8571, Tsukuba, Japan
Email: tsaotome@math.tsukuba.ac.jp

DOI: 10.1090/S0002-9939-08-09498-7
PII: S 0002-9939(08)09498-7
Keywords: Strongly pseudo-convex manifold, CR manifold, Serre duality, Hodge decomposition, Witten-Kohn Laplacian, weighted Laplacian
Received by editor(s): July 17, 2007
Posted: June 11, 2008
Communicated by: Mikhail Shubin
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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