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: Riemannian geometry | Statement: [Gravitation, subject, Riemannian geometry]

Target entity: Riemannian geometry
Context triple: [Gravitation, subject, Riemannian geometry]

• A. Riemannian manifolds chosen
  Riemannian manifolds are smooth manifolds equipped with an inner product on each tangent space that allows one to measure lengths, angles, and curvature in a curved geometric setting.
• B. differential geometry
  Differential geometry is a branch of mathematics that uses the techniques of calculus and linear algebra to study the properties and curvature of smooth shapes and spaces such as curves, surfaces, and manifolds.
• C. Foundations of Differential Geometry
  Foundations of Differential Geometry is a classic two-volume textbook by Shoshichi Kobayashi and Katsumi Nomizu that systematically develops modern differential geometry, including connections, curvature, and geometric structures on manifolds.
• D. Kähler geometry
  Kähler geometry is a branch of differential geometry studying complex manifolds equipped with a compatible symplectic form and Riemannian metric, leading to rich interactions between complex, symplectic, and Riemannian geometry.
• E. Ricci flow
  Ricci flow is a geometric evolution equation that smoothly deforms the metric of a Riemannian manifold in a way analogous to heat diffusion, playing a central role in Grigori Perelman's proof of the Poincaré conjecture.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.