Tokyo Journal of Mathematics

A Perturbed CR Yamabe Equation on the Heisenberg Group

Takanari SAOTOME

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Abstract

We will study the CR Yamabe equation for a partially integrable CR structure on the Heisenberg group which is deformed from the standard CR structure. By using the Lyapunov-Schmidt reduction, it is shown that a perturbed standard solution of the CR Yamabe equation is a solution of the deformed CR Yamabe equation, under certain conditions of the deformation. Especially, the deformed CR structure is only partially integrable, in general.

Article information

Source
Tokyo J. Math., Volume 41, Number 2 (2018), 407-432.

Dates
First available in Project Euclid: 18 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1513566021

Mathematical Reviews number (MathSciNet)
MR3908802

Zentralblatt MATH identifier
07053484

Subjects
Primary: 32C20: Normal analytic spaces

Citation

SAOTOME, Takanari. A Perturbed CR Yamabe Equation on the Heisenberg Group. Tokyo J. Math. 41 (2018), no. 2, 407--432. https://projecteuclid.org/euclid.tjm/1513566021


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