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Mathematical Sciences Classification System

53Axx - Classical differential geometry

• 14
  53A04
  Curves in Euclidean space
• 22
  53A05
  Surfaces in Euclidean space
• 5
  53A07
  Higher-dimensional and -codimensional surfaces in Euclidean $n$-space
• 25
  53A10
  Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]
• 4
  53A15
  Affine differential geometry
• 1
  53A17
  Kinematics
• 5
  53A20
  Projective differential geometry
• 1
  53A25
  Differential line geometry
• 20
  53A30
  Conformal differential geometry
• 53A35
  Non-Euclidean differential geometry
• 3
  53A40
  Other special differential geometries
• 12
  53A45
  Vector and tensor analysis
• 4
  53A55
  Differential invariants (local theory), geometric objects
• 2
  53A60
  Geometry of webs [See also 14C21, 20N05]
• 53A99
  None of the above, but in this section