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: Christoffel symbols | Statement: [Ricci curvature tensor, dependsOn, Christoffel symbols]

Target entity: Christoffel symbols
Context triple: [Ricci curvature tensor, dependsOn, Christoffel symbols]

• A. Levi-Civita connection
  The Levi-Civita connection is the unique torsion-free affine connection on a Riemannian manifold that is compatible with its metric, enabling the definition of parallel transport and covariant differentiation.
• 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 curvature tensor
  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.
• D. 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.
• E. Kretschmann scalar
  The Kretschmann scalar is a curvature invariant in general relativity that combines components of the Riemann tensor into a single scalar quantity used to characterize the intensity of spacetime curvature, especially near singularities.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Christoffel symbols
Triple: [Ricci curvature tensor, dependsOn, Christoffel symbols]

Christoffel symbols are mathematical objects in differential geometry that represent the connection coefficients used to define covariant derivatives and describe how vectors change as they are parallel transported on curved manifolds.

Target entity: Christoffel symbols
Target entity description: Christoffel symbols are mathematical objects in differential geometry that represent the connection coefficients used to define covariant derivatives and describe how vectors change as they are parallel transported on curved manifolds.

• A. Levi-Civita connection chosen
  The Levi-Civita connection is the unique torsion-free affine connection on a Riemannian manifold that is compatible with its metric, enabling the definition of parallel transport and covariant differentiation.
• 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 curvature tensor
  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.
• D. 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.
• E. Kretschmann scalar
  The Kretschmann scalar is a curvature invariant in general relativity that combines components of the Riemann tensor into a single scalar quantity used to characterize the intensity of spacetime curvature, especially near singularities.
• F. None of above.