Mathematical Sciences Classification System

53Axx - Classical differential geometry

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

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