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math.DG2023
Notes on projective structures with torsion
Taro Asuke
We show that projective structures with torsion are described in terms of affine connections in a parallel way as in the torsion-free case which is done by Kobayashi and Nagano. Fo…
math.DG2022
Formal frames and deformations of affine connections
Taro Asuke
We will introduce formal frames of manifolds, which are a generalization of ordinary frames. Their fundamental properties are discussed. In particular, canonical forms are introduc…