Work

A CR invariant sphere theorem

Year: 2025

Type: article

Abstract: We prove that every closed, universally embeddable CR three-manifold with nonnegative Yamabe constant and positive total Q ′ Q^\prime -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 ′ Q^\prime -curvature is CR equivalent to a compact quotient of the Heisenberg group with its flat CR structure.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/proc/17419

Authors: Jeffrey Case, Paul Yang

Institutions: Pennsylvania State University, Princeton University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Simons Foundation, University of Washington

Award: G2187885373