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: Cauchy–Kovalevskaya theorem on manifolds | Statement: [Cauchy–Kovalevskaya theorem, hasGeneralization, Cauchy–Kovalevskaya theorem on manifolds]

Target entity: Cauchy–Kovalevskaya theorem on manifolds
Context triple: [Cauchy–Kovalevskaya theorem, hasGeneralization, Cauchy–Kovalevskaya theorem on manifolds]

• A. Cauchy–Kovalevskaya theorem chosen
  The Cauchy–Kovalevskaya theorem is a fundamental result in partial differential equations that guarantees the existence and uniqueness of analytic solutions to certain initial value problems under appropriate analyticity conditions.
• B. Lectures on Cauchy’s problem in linear partial differential equations
  "Lectures on Cauchy’s Problem in Linear Partial Differential Equations" is a classic mathematical treatise by Jacques Hadamard that systematically develops the theory of existence, uniqueness, and well-posedness for solutions to linear partial differential equations.
• C. Carathéodory–Jacobi–Lie theorem
  The Carathéodory–Jacobi–Lie theorem is a fundamental result in symplectic geometry and Hamiltonian mechanics that provides canonical local coordinates adapted to a given set of commuting functions.
• D. Israel–Carter–Robinson uniqueness theorems
  The Israel–Carter–Robinson uniqueness theorems are a set of results in general relativity showing that stationary, asymptotically flat black holes in four-dimensional spacetime are completely characterized by just their mass, charge, and angular momentum.
• E. Quelques propriétés globales des variétés différentiables
  "Quelques propriétés globales des variétés différentiables" is a seminal mathematical work by René Thom that helped found differential topology by studying global properties of differentiable manifolds.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.