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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
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
53A99 - Miscellaneous
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