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In differential geometry and mathematical … In differential geometry and mathematical physics, a spin connection is a connection on a spinor bundle. It is induced, in a canonical manner, from the affine connection. It can also be regarded as the gauge field generated by local Lorentz transformations. In some canonical formulations of general relativity, a spin connection is defined on spatial slices and can also be regarded as the gauge field generated by local rotations. The spin connection occurs in two common forms: the Levi-Civita spin connection, when it is derived from the Levi-Civita connection, and the affine spin connection, when it is obtained from the affine connection. The difference between the two of these is that the Levi-Civita connection is by definition the unique torsion-free connection, whereas the affine connection (and so the affine spin connection) may contain torsion.fine spin connection) may contain torsion.
, 미분기하학과 일반 상대성 이론에서 스핀 접속(spin接續, 영어: spin connection)은 스피너 다발 위에 존재하는 코쥘 접속이다. 아핀 접속으로부터 정의할 수 있다.
, In geometria differenziale e in fisica matematica, una connessione spinoriale è una connessione su un . È indotta, in modo canonico, dalla connessione di Levi-Civita. Può anche essere vista come il generato da una trasformazione di Lorentz locale.
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In geometria differenziale e in fisica matematica, una connessione spinoriale è una connessione su un . È indotta, in modo canonico, dalla connessione di Levi-Civita. Può anche essere vista come il generato da una trasformazione di Lorentz locale.
, 미분기하학과 일반 상대성 이론에서 스핀 접속(spin接續, 영어: spin connection)은 스피너 다발 위에 존재하는 코쥘 접속이다. 아핀 접속으로부터 정의할 수 있다.
, In differential geometry and mathematical … In differential geometry and mathematical physics, a spin connection is a connection on a spinor bundle. It is induced, in a canonical manner, from the affine connection. It can also be regarded as the gauge field generated by local Lorentz transformations. In some canonical formulations of general relativity, a spin connection is defined on spatial slices and can also be regarded as the gauge field generated by local rotations. gauge field generated by local rotations.
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스핀 접속
, Spin connection
, Connessione spinoriale
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