Extremal metrics for the Q0-curvature in three dimensions

Jeffrey S. Case; Chin Yu Hsiao; Paul Yang

doi:10.4171/JEMS/845

Extremal metrics for the Q⁰-curvature in three dimensions

Jeffrey S. Case
, Chin Yu Hsiao
, Paul Yang

Mathematics

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

7 Scopus citations

Abstract

We construct contact forms with constant Q⁰-curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivity conditions. These contact forms are obtained by minimizing the CR analogue of the II-functional from conformal geometry.

Original language	English (US)
Pages (from-to)	585-626
Number of pages	42
Journal	Journal of the European Mathematical Society
Volume	21
Issue number	2
DOIs	https://doi.org/10.4171/JEMS/845
State	Published - 2019

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.4171/JEMS/845

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title = "Extremal metrics for the Q0-curvature in three dimensions",

abstract = "We construct contact forms with constant Q0-curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivity conditions. These contact forms are obtained by minimizing the CR analogue of the II-functional from conformal geometry.",

author = "Case, \{Jeffrey S.\} and Hsiao, \{Chin Yu\} and Paul Yang",

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

year = "2019",

doi = "10.4171/JEMS/845",

language = "English (US)",

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journal = "Journal of the European Mathematical Society",

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T1 - Extremal metrics for the Q0-curvature in three dimensions

AU - Case, Jeffrey S.

AU - Hsiao, Chin Yu

AU - Yang, Paul

N1 - Publisher Copyright: © European Mathematical Society 2019

PY - 2019

Y1 - 2019

N2 - We construct contact forms with constant Q0-curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivity conditions. These contact forms are obtained by minimizing the CR analogue of the II-functional from conformal geometry.

AB - We construct contact forms with constant Q0-curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivity conditions. These contact forms are obtained by minimizing the CR analogue of the II-functional from conformal geometry.

UR - https://www.scopus.com/pages/publications/85060860773

UR - https://www.scopus.com/pages/publications/85060860773#tab=citedBy

U2 - 10.4171/JEMS/845

DO - 10.4171/JEMS/845

M3 - Article

AN - SCOPUS:85060860773

SN - 1435-9855

VL - 21

SP - 585

EP - 626

JO - Journal of the European Mathematical Society

JF - Journal of the European Mathematical Society

IS - 2

ER -

Extremal metrics for the Q⁰-curvature in three dimensions

Abstract

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