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: generalized Stokes' theorem on manifolds | Statement: [Stokes' theorem, isSpecialCaseOf, generalized Stokes' theorem on manifolds]

Target entity: generalized Stokes' theorem on manifolds
Context triple: [Stokes' theorem, isSpecialCaseOf, generalized Stokes' theorem on manifolds]

• A. Stokes' theorem chosen
  Stokes' theorem is a fundamental result in vector calculus that relates the surface integral of the curl of a vector field over a surface to the line integral of the field around the surface’s boundary.
• B. Gauss–Bonnet theorem (early form)
  The Gauss–Bonnet theorem (early form) is an early version of the fundamental result in differential geometry that links the total curvature of a surface to its topological characteristics, originally developed by Carl Friedrich Gauss.
• C. Chern–Weil theory
  Chern–Weil theory is a framework in differential geometry that constructs characteristic classes of vector bundles from curvature forms, linking topology and geometry through invariant polynomials.
• D. Poincaré lemma
  The Poincaré lemma is a fundamental result in differential geometry and topology stating that every closed differential form on a star-shaped (or more generally, contractible) domain is locally exact.
• E. de Rham cohomology
  de Rham cohomology is a cohomology theory for smooth manifolds that uses differential forms to capture their global topological and geometric properties.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.