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: [Non-Euclidean geometry, includes, Riemannian geometry]

Target entity: Riemannian geometry
Context triple: [Non-Euclidean geometry, includes, 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. 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.
• D. 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.
• E. Metric Structures for Riemannian and Non-Riemannian Spaces
  "Metric Structures for Riemannian and Non-Riemannian Spaces" is a foundational monograph by Mikhail Gromov that systematically develops the theory of metric spaces and its applications to Riemannian geometry, geometric group theory, and global analysis.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.