Herrmann, Hendrik, Hsiao, Chin-Yu and Li, Xiaoshan (2017). SzegA kernel expansion and equivariant embedding of CR manifolds with circle action. Ann. Glob. Anal. Geom., 52 (3). S. 313 - 341. DORDRECHT: SPRINGER. ISSN 1572-9060

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Abstract

Let X be a compact strongly pseudoconvex CR manifold with a transversal CR -action. In this paper, we establish the asymptotic expansion of SzegA kernels of positive Fourier components, and by using the asymptotics, we show that X can be equivariant CR embedded into some equipped with a simple -action. An equivariant embedding of quasi-regular Sasakian manifold is also derived.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Herrmann, HendrikUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Hsiao, Chin-YuUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Li, XiaoshanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-220561
DOI: 10.1007/s10455-017-9559-z
Journal or Publication Title: Ann. Glob. Anal. Geom.
Volume: 52
Number: 3
Page Range: S. 313 - 341
Date: 2017
Publisher: SPRINGER
Place of Publication: DORDRECHT
ISSN: 1572-9060
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
BERGMAN-KERNEL; EMBEDDABILITY; ASYMPTOTICSMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/22056

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