ON GLOBAL RIEMANN-CARTAN GEOMETRY
ON GLOBAL RIEMANN-CARTAN GEOMETRY
ON GLOBAL RIEMANN-CARTAN GEOMETRY
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Classification of known kinds of metrically-affine spaces (manifolds) is presented in the following diagram.<br />
Metric-affine<br />
Metric-affine<br />
manifolds<br />
manifolds<br />
Q = n -1 tr Q g<br />
Weyl-Cartan<br />
Weyl-Cartan<br />
= 0 manifolds<br />
manifolds<br />
Q = 0<br />
Weyl<br />
Weyl<br />
manifolds<br />
manifolds<br />
Q = 0<br />
= 0 Q = 0<br />
Riemannian<br />
Riemannian<br />
manifolds<br />
manifolds<br />
= 0<br />
Flat<br />
Flat<br />
manifolds<br />
manifolds<br />
Riemannian<br />
Riemannian<br />
–<br />
–<br />
Cartan<br />
Cartan<br />
manifolds<br />
manifolds<br />
manifolds<br />
manifolds<br />
= 0 = 0<br />
= 0<br />
Weitzenböck<br />
Weitzenböck<br />
manifolds<br />
manifolds<br />
5