53Bxx Local differential geometry
- 53B05 Linear and affine connections
- 53B10 Projective connections
- 53B15 Other connections
- 53B20 Local Riemannian geometry
- 53B21 Methods of Riemannian geometry
- 53B25 Local submanifolds, See also {53C40}
- 53B30 Lorentz metrics, indefinite metrics
- 53B35 Hermitian and Kahlerian structures, See also {32Cxx}
- 53B40 Finsler spaces and generalizations (areal metrics)
- 53B50 Applications to physics
- 53B99 None of the above but in this section
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