Mathematical Sciences Classification System

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

  • 6
    53-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 147
    53-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 4
    53-02
    Research exposition (monographs, survey articles)
  • 32
    53-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 6
    53-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 283
    53-06
    Proceedings, conferences, collections, etc.
  • 42
    (+116)
    Classical differential geometry
  • 8
    (+61)
    Local differential geometry
  • 126
    (+450)
    Global differential geometry
    [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx]
  • 128
    (+91)
    Symplectic geometry, contact geometry
    [See also 37Jxx, 70Gxx, 70Hxx]
  • 12
    (+30)
    Applications to physics

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