On the real-analyticity of rigid spherical hypersurfaces in ℂ2

Alexander Isaev; Joël Merker

doi:10.1090/proc/14724

On the real-analyticity of rigid spherical hypersurfaces in ℂ²

Alexander Isaev, Joël Merker

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

1 Citation (Scopus)

Abstract

We prove that every smooth rigid spherical hypersurface in ℂ² is in fact real-analytic. As an application of this result, it follows that the classification of real-analytic rigid spherical hypersurfaces in ℂ² found by V. Ezhov and G. Schmalz applies in the smooth case.

Original language	English
Pages (from-to)	5251-5256
Number of pages	6
Journal	Proceedings of the American Mathematical Society
Volume	147
Issue number	12
DOIs	https://doi.org/10.1090/proc/14724
Publication status	Published - 2019

Access to Document

10.1090/proc/14724

Cite this

@article{c8ad81b5b30d4b8694b91a90986cfe15,

title = "On the real-analyticity of rigid spherical hypersurfaces in ℂ2 ",

abstract = "We prove that every smooth rigid spherical hypersurface in ℂ2 is in fact real-analytic. As an application of this result, it follows that the classification of real-analytic rigid spherical hypersurfaces in ℂ2 found by V. Ezhov and G. Schmalz applies in the smooth case.",

keywords = "Nonlinear elliptic systems, Real-analyticity of solutions, Rigid hypersurfaces, Zero CR-curvature equation",

author = "Alexander Isaev and Jo{\"e}l Merker",

note = "Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",

year = "2019",

doi = "10.1090/proc/14724",

language = "English",

volume = "147",

pages = "5251--5256",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "12",

}

TY - JOUR

T1 - On the real-analyticity of rigid spherical hypersurfaces in ℂ2

AU - Isaev, Alexander

AU - Merker, Joël

PY - 2019

Y1 - 2019

N2 - We prove that every smooth rigid spherical hypersurface in ℂ2 is in fact real-analytic. As an application of this result, it follows that the classification of real-analytic rigid spherical hypersurfaces in ℂ2 found by V. Ezhov and G. Schmalz applies in the smooth case.

AB - We prove that every smooth rigid spherical hypersurface in ℂ2 is in fact real-analytic. As an application of this result, it follows that the classification of real-analytic rigid spherical hypersurfaces in ℂ2 found by V. Ezhov and G. Schmalz applies in the smooth case.

KW - Nonlinear elliptic systems

KW - Real-analyticity of solutions

KW - Rigid hypersurfaces

KW - Zero CR-curvature equation

UR - http://www.scopus.com/inward/record.url?scp=85074260680&partnerID=8YFLogxK

U2 - 10.1090/proc/14724

DO - 10.1090/proc/14724

M3 - Article

SN - 0002-9939

VL - 147

SP - 5251

EP - 5256

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 12

ER -

On the real-analyticity of rigid spherical hypersurfaces in ℂ²

Abstract

Access to Document

Other files and links

Fingerprint

Cite this