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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On the transformation group of a real hypersurface


Author: S. M. Webster
Journal: Trans. Amer. Math. Soc. 231 (1977), 179-190
MSC: Primary 32C05; Secondary 57E10
DOI: https://doi.org/10.1090/S0002-9947-1977-0481085-5
MathSciNet review: 0481085
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Abstract: The group of biholomorphic transformations leaving fixed a strongly pseudoconvex real hypersurface in a complex manifold is a Lie group. In this paper it is shown that the Chern-Moser invariants must vanish if this group is noncompact and the hypersurface is compact. Also considered are transformation groups of flat hypersurfaces and intransitive groups.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1977-0481085-5
Keywords: Pseudoconformal transformation, Lie transformation group, strongly pseudoconvex, real hypersurface
Article copyright: © Copyright 1977 American Mathematical Society