Cauchy-Riemann Automorphism Groups that cannot be projectively realized

V. V. Ežov

doi:10.1007/BF02921299

Cauchy-Riemann Automorphism Groups that cannot be projectively realized

V. V. Ežov

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

Let M ⊑ ℂⁿ be a real-analytic, nonspherical hypersurface passing through the origin and having nondegenerate Levi form. Let Aut₀ M be the stability group of 0. When n = 12 an example is constructed for which Aut₀ M cannot be linearized.

Original language	English
Pages (from-to)	417-427
Number of pages	11
Journal	The Journal of Geometric Analysis
Volume	2
Issue number	5
DOIs	https://doi.org/10.1007/BF02921299
Publication status	Published - Sept 1992
Externally published	Yes

Keywords

Hypersurface
linearization
Math Subject Classification: 32F25, 32F40
nonspherical

Access to Document

10.1007/BF02921299Licence: In Copyright

https://rdcu.be/dRKLvLicence: In Copyright

Cite this

@article{9d944de3a5564319b6432c2ecda6eee9,

title = "Cauchy-Riemann Automorphism Groups that cannot be projectively realized",

abstract = "Let M ⊑ ℂn be a real-analytic, nonspherical hypersurface passing through the origin and having nondegenerate Levi form. Let Aut0 M be the stability group of 0. When n = 12 an example is constructed for which Aut0 M cannot be linearized.",

keywords = "Hypersurface, linearization, Math Subject Classification: 32F25, 32F40, nonspherical",

author = "E{\v z}ov, {V. V.}",

year = "1992",

month = sep,

doi = "10.1007/BF02921299",

language = "English",

volume = "2",

pages = "417--427",

journal = "The Journal of Geometric Analysis",

issn = "1050-6926",

publisher = "Springer New York",

number = "5",

}

TY - JOUR

T1 - Cauchy-Riemann Automorphism Groups that cannot be projectively realized

AU - Ežov, V. V.

PY - 1992/9

Y1 - 1992/9

N2 - Let M ⊑ ℂn be a real-analytic, nonspherical hypersurface passing through the origin and having nondegenerate Levi form. Let Aut0 M be the stability group of 0. When n = 12 an example is constructed for which Aut0 M cannot be linearized.

AB - Let M ⊑ ℂn be a real-analytic, nonspherical hypersurface passing through the origin and having nondegenerate Levi form. Let Aut0 M be the stability group of 0. When n = 12 an example is constructed for which Aut0 M cannot be linearized.

KW - Hypersurface

KW - linearization

KW - Math Subject Classification: 32F25, 32F40

KW - nonspherical

UR - http://www.scopus.com/inward/record.url?scp=27844559657&partnerID=8YFLogxK

U2 - 10.1007/BF02921299

DO - 10.1007/BF02921299

M3 - Article

AN - SCOPUS:27844559657

SN - 1050-6926

VL - 2

SP - 417

EP - 427

JO - The Journal of Geometric Analysis

JF - The Journal of Geometric Analysis

IS - 5

ER -

Cauchy-Riemann Automorphism Groups that cannot be projectively realized

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this