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

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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",

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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 - https://www.scopus.com/pages/publications/85074260680

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

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