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: Ricci tensor | Statement: [Ricci scalar, isContractionOf, Ricci tensor]

Target entity: Ricci tensor
Context triple: [Ricci scalar, isContractionOf, Ricci tensor]

• A. Ricci curvature tensor chosen
  The Ricci curvature tensor is a geometric object in differential geometry that measures how volumes in a curved space-time deviate from those in flat space, playing a central role in general relativity.
• B. Riemann curvature tensor
  The Riemann curvature tensor is a fundamental geometric object in differential geometry that measures how much a Riemannian manifold deviates from being flat by encoding the intrinsic curvature of the space.
• C. Ricci-Curbastro
  Ricci-Curbastro is the surname of the Italian mathematician Gregorio Ricci-Curbastro, a pioneer of tensor calculus and differential geometry.
• D. Ricci scalar
  The Ricci scalar is a curvature invariant in differential geometry and general relativity that summarizes how spacetime is curved at a point by contracting the Ricci tensor into a single scalar quantity.
• E. Einstein tensor
  The Einstein tensor is a mathematical object in general relativity that encapsulates how spacetime curvature is related to the distribution of matter and energy.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: isContractionOf
Context triple: [Ricci scalar, isContractionOf, Ricci tensor]

• A. hasGrammaticalSimilarityTo
  Indicates that two linguistic elements share similar grammatical structure, form, or function.
• B. isPlayOnWordsWith
  Indicates a relationship where one expression is a pun or wordplay that depends on, echoes, or cleverly twists the wording or meaning of another expression.
• C. notAbbreviationOf
  Indicates that one term is explicitly asserted not to be an abbreviation or shortened form of another term.
• D. isInverseOf
  Indicates that one relation reverses the direction of another, so that if the original relates A to B, its inverse relates B to A.
• E. hasTwoWordForm
  Indicates that an entity is represented or expressed using a form consisting of exactly two words.
• F. None of above. chosen