A characterization of homogeneous three-dimensional CR manifolds

Jih Hsin Cheng; Andrea Malchiodi; Paul Yang

doi:10.4171/RMI/1491

A characterization of homogeneous three-dimensional CR manifolds

Jih Hsin Cheng
, Andrea Malchiodi
, Paul Yang

Mathematics

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

Abstract

We characterize homogeneous three-dimensional CR manifolds, in particular Rossi spheres, as critical points of a certain energy functional that depends on the Webster curvature and torsion of the pseudohermitian structure.

Original language	English (US)
Pages (from-to)	2325-2338
Number of pages	14
Journal	Revista Matematica Iberoamericana
Volume	40
Issue number	6
DOIs	https://doi.org/10.4171/RMI/1491
State	Published - 2024

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

homogeneous CR 3-manifold
pseudo-Einstein contact form
pseudohermitian structure
Rossi sphere

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10.4171/RMI/1491

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title = "A characterization of homogeneous three-dimensional CR manifolds",

abstract = "We characterize homogeneous three-dimensional CR manifolds, in particular Rossi spheres, as critical points of a certain energy functional that depends on the Webster curvature and torsion of the pseudohermitian structure.",

keywords = "homogeneous CR 3-manifold, pseudo-Einstein contact form, pseudohermitian structure, Rossi sphere",

author = "Cheng, \{Jih Hsin\} and Andrea Malchiodi and Paul Yang",

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year = "2024",

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language = "English (US)",

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T1 - A characterization of homogeneous three-dimensional CR manifolds

AU - Cheng, Jih Hsin

AU - Malchiodi, Andrea

AU - Yang, Paul

PY - 2024

Y1 - 2024

N2 - We characterize homogeneous three-dimensional CR manifolds, in particular Rossi spheres, as critical points of a certain energy functional that depends on the Webster curvature and torsion of the pseudohermitian structure.

AB - We characterize homogeneous three-dimensional CR manifolds, in particular Rossi spheres, as critical points of a certain energy functional that depends on the Webster curvature and torsion of the pseudohermitian structure.

KW - homogeneous CR 3-manifold

KW - pseudo-Einstein contact form

KW - pseudohermitian structure

KW - Rossi sphere

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UR - https://www.scopus.com/pages/publications/85208476779#tab=citedBy

U2 - 10.4171/RMI/1491

DO - 10.4171/RMI/1491

M3 - Article

AN - SCOPUS:85208476779

SN - 0213-2230

VL - 40

SP - 2325

EP - 2338

JO - Revista Matematica Iberoamericana

JF - Revista Matematica Iberoamericana

IS - 6

ER -

A characterization of homogeneous three-dimensional CR manifolds

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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