The singular CR Yamabe problem and Hausdorff dimension

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.

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Publication Details

Journal
Communications in Contemporary Mathematics
Published
2025-11-21
DOI
https://doi.org/10.1142/s021919972540005x
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

The singular CR Yamabe problem and Hausdorff dimension

Sagun Chanillo, Paul Yang
Communications in Contemporary Mathematics
Holomorphic and Operator Theory
article

The singular CR Yamabe problem and Hausdorff dimension

Sagun Chanillo, Paul Yang
article en

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.

Communications in Contemporary Mathematics
Rutgers, The State University of New Jersey (US), Princeton University (US)
Openalex Percentile: Top 52%
Holomorphic and Operator Theory
DOISourceOpenAlex
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The singular CR Yamabe problem and Hausdorff dimension — Sagun Chanillo, Paul Yang · Communications in Contemporary Mathematics (2025) | TGRS Research Map | TGRS