A CR INVARIANT SPHERE THEOREM

Jeffrey S. Case; Paul Yang

doi:10.1090/proc/17419

A CR INVARIANT SPHERE THEOREM

Jeffrey S. Case
, Paul Yang

Mathematics

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

Abstract

We prove that every closed, universally embeddable CR threemanifold with nonnegative Yamabe constant and positive total Q'-curvature is contact diffeomorphic to a quotient of the standard contact three-sphere. We also prove that every closed, embeddable CR three-manifold with zero Yamabe constant and nonnegative total Q'-curvature is CR equivalent to a compact quotient of the Heisenberg group with its flat CR structure.

Original language	English (US)
Pages (from-to)	5183-5194
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	153
Issue number	12
DOIs	https://doi.org/10.1090/proc/17419
State	Published - Dec 2025

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/proc/17419

Cite this

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title = "A CR INVARIANT SPHERE THEOREM",

abstract = "We prove that every closed, universally embeddable CR threemanifold with nonnegative Yamabe constant and positive total Q'-curvature is contact diffeomorphic to a quotient of the standard contact three-sphere. We also prove that every closed, embeddable CR three-manifold with zero Yamabe constant and nonnegative total Q'-curvature is CR equivalent to a compact quotient of the Heisenberg group with its flat CR structure.",

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AB - We prove that every closed, universally embeddable CR threemanifold with nonnegative Yamabe constant and positive total Q'-curvature is contact diffeomorphic to a quotient of the standard contact three-sphere. We also prove that every closed, embeddable CR three-manifold with zero Yamabe constant and nonnegative total Q'-curvature is CR equivalent to a compact quotient of the Heisenberg group with its flat CR structure.

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U2 - 10.1090/proc/17419

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AN - SCOPUS:105025218997

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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A CR INVARIANT SPHERE THEOREM

Abstract

All Science Journal Classification (ASJC) codes

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