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: “Isometric imbedding of complex manifolds” | Statement: [Eugenio Calabi, notableWork, “Isometric imbedding of complex manifolds”]

Target entity: “Isometric imbedding of complex manifolds”
Context triple: [Eugenio Calabi, notableWork, “Isometric imbedding of complex manifolds”]

• A. Differential Analysis on Complex Manifolds
  "Differential Analysis on Complex Manifolds" is a foundational mathematical monograph that systematically develops the theory of differential and complex geometry on complex manifolds.
• B. Complex Manifolds and Deformation of Complex Structures
  "Complex Manifolds and Deformation of Complex Structures" is a foundational mathematical monograph by Kunihiko Kodaira that systematically develops the theory of complex manifolds and their deformations, shaping modern complex geometry.
• C. Nash embedding theorem chosen
  The Nash embedding theorem is a fundamental result in differential geometry that shows any Riemannian manifold can be isometrically embedded into some Euclidean space, thereby realizing abstract curved spaces as concrete subsets of standard Euclidean space.
• D. Dirichlet problem on a Riemannian manifold
  The Dirichlet problem on a Riemannian manifold concerns finding a harmonic function on the manifold that assumes prescribed values on its boundary, taking into account the manifold’s intrinsic geometric structure.
• E. Cartan theorems A and B
  Cartan theorems A and B are fundamental results in complex analytic geometry that characterize coherent analytic sheaves on Stein spaces by guaranteeing the existence of enough global sections and the vanishing of higher cohomology.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.