Mathematical Sciences Classification System

53-XX - Differential geometry {For differential topology, see 57Rxx. For foundational questions of differentiable manifolds, see 58Axx}

  • 53-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 53-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 53-02
    Research exposition (monographs, survey articles)
  • 53-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 53-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 53-06
    Proceedings, conferences, collections, etc.
  • Classical differential geometry
  • Local differential geometry
  • Global differential geometry
    [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx]
  • Symplectic geometry, contact geometry
    [See also 37Jxx, 70Gxx, 70Hxx]
  • Applications to physics

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