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

Sagun Chanillo
, Paul C. Yang

Mathematics

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	English (US)
Article number	2540005
Journal	Communications in Contemporary Mathematics
Volume	28
Issue number	5
DOIs	https://doi.org/10.1142/S021919972540005X
State	Published - Jun 1 2026

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Keywords

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

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10.1142/S021919972540005X

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

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.",

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

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AU - Yang, Paul C.

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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 - Hausdorff dimension

KW - Huber's theorem

KW - Kleinian groups

KW - Tanaka-Webster curvature

KW - developing map

KW - limit set

KW - positive mass theorem

KW - singular set

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

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DO - 10.1142/S021919972540005X

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JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

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The singular CR Yamabe problem and Hausdorff dimension

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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