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Article . 1977
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On the Transformation Group of a Real Hypersurface

On the transformation group of a real hypersurface
descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1977Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 231, page 179 (issn: 0002-9947, Copyright policy )
Authors: Webster, S. M.;

doi: 10.2307/1997877 , 10.1090/s0002-9947-1977-0481085-5

On the Transformation Group of a Real Hypersurface

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.

Keywords

Geometric convexity in several complex variables, Noncompact Lie groups of transformations, Conformal differential geometry, Connections (general theory)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
25
Average
Top 10%
Average
bronze