Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: CR Yamabe problem | Statement: [Fefferman metric in several complex variables, relatedTo, CR Yamabe problem]

Target entity: CR Yamabe problem
Context triple: [Fefferman metric in several complex variables, relatedTo, CR Yamabe problem]

• A. Yamabe problem chosen
  The Yamabe problem is a fundamental question in differential geometry concerning whether every compact Riemannian manifold admits a metric of constant scalar curvature within a given conformal class.
• B. Donaldson–Uhlenbeck–Yau theorem
  The Donaldson–Uhlenbeck–Yau theorem is a fundamental result in differential and algebraic geometry that characterizes when a holomorphic vector bundle over a compact Kähler manifold admits a Hermitian–Einstein metric, linking geometric stability with the existence of such metrics.
• C. Calabi conjecture
  The Calabi conjecture is a fundamental result in complex differential geometry, proved by Shing-Tung Yau, which characterizes when a compact Kähler manifold admits a unique Ricci-flat Kähler metric in a given Kähler class.
• D. Dirichlet problem on a Riemannian manifold
  The Dirichlet problem on a Riemannian manifold concerns finding a harmonic function on the manifold that assumes prescribed values on its boundary, taking into account the manifold’s intrinsic geometric structure.
• E. Nirenberg problem in differential geometry
  The Nirenberg problem in differential geometry is a classical question about prescribing Gaussian curvature on the 2-sphere via conformal deformations of the metric.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.