The singular CR Yamabe problem and Hausdorff dimension

Sagun Chanillo; Paul C. Yang

doi:10.1142/S021919972540005X

The singular CR Yamabe problem and Hausdorff dimension

School of Arts and Sciences, Mathematics

Rutgers, The State University

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

Abstract

In this paper, we consider CR analogs of Huber’s theorem for Riemann surfaces. We also investigate the developing map for CR structures that are spherical in the case of three-dimensional CR manifolds and give conditions when this developing map is injective.

Original language	American English
Article number	2540005
Journal	Communications in Contemporary Mathematics
DOIs	https://doi.org/10.1142/S021919972540005X
State	Accepted/In press - 2025

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Keywords

CR geometry
developing map
Hausdorff dimension
Huber’s theorem
Kleinian groups
limit set
positive mass theorem
singular set
Tanaka-Webster curvature

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10.1142/S021919972540005X

Cite this

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title = "The singular CR Yamabe problem and Hausdorff dimension",

abstract = "In this paper, we consider CR analogs of Huber{\textquoteright}s theorem for Riemann surfaces. We also investigate the developing map for CR structures that are spherical in the case of three-dimensional CR manifolds and give conditions when this developing map is injective.",

keywords = "CR geometry, developing map, Hausdorff dimension, Huber{\textquoteright}s theorem, Kleinian groups, limit set, positive mass theorem, singular set, Tanaka-Webster curvature",

author = "Sagun Chanillo and Yang, \{Paul C.\}",

note = "Publisher Copyright: {\textcopyright} 2025 World Scientific Publishing Company.",

year = "2025",

doi = "10.1142/S021919972540005X",

language = "American English",

journal = "Communications in Contemporary Mathematics",

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T1 - The singular CR Yamabe problem and Hausdorff dimension

AU - Chanillo, Sagun

AU - Yang, Paul C.

PY - 2025

Y1 - 2025

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AB - In this paper, we consider CR analogs of Huber’s theorem for Riemann surfaces. We also investigate the developing map for CR structures that are spherical in the case of three-dimensional CR manifolds and give conditions when this developing map is injective.

KW - CR geometry

KW - developing map

KW - Hausdorff dimension

KW - Huber’s theorem

KW - Kleinian groups

KW - limit set

KW - positive mass theorem

KW - singular set

KW - Tanaka-Webster curvature

UR - https://www.scopus.com/pages/publications/105024869283

UR - https://www.scopus.com/pages/publications/105024869283#tab=citedBy

U2 - 10.1142/S021919972540005X

DO - 10.1142/S021919972540005X

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SN - 0219-1997

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

M1 - 2540005

ER -

The singular CR Yamabe problem and Hausdorff dimension

Abstract

ASJC Scopus subject areas

Keywords

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