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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.)
• 149
  53-01
  Instructional exposition (textbooks, tutorial papers, etc.)
• 4
  53-02
  Research exposition (monographs, survey articles)
• 33
  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)
• 288
  53-06
  Proceedings, conferences, collections, etc.
• 44
  (+118)
  53Axx
  Classical differential geometry
• 8
  (+62)
  53Bxx
  Local differential geometry
• 125
  (+460)
  53Cxx
  Global differential geometry
  [See also 51H25, 58-XX; for related bundle theory, see 55Rxx, 57Rxx]
• 130
  (+96)
  53Dxx
  Symplectic geometry, contact geometry
  [See also 37Jxx, 70Gxx, 70Hxx]
• 12
  (+30)
  53Zxx
  Applications to physics