53Axx Classical differential geometry

• 53A04 Curves in Euclidean space
• 53A05 Surfaces in Euclidean space
• 53A07 Higher-dimension and -codimension 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
• 53A50 Spinor 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