大师作文网张量计算.如图所示,
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张量计算.
如图所示,
如图所示,
For surface, the sectional(Gaussian) curvature is exactly half of the scalar curvature:
K= R/2
And the Ricci curvature can be expressed as
R_{ab} = K g_{ab}
Where g_{ab} is the metric tensor.
So G_{ab} = R_{ab} - R/2 g_{ab}
= K g_{ab} - R/2 g_{ab}
= K g_{ab} - K g_{ab}
= 0
K= R/2
And the Ricci curvature can be expressed as
R_{ab} = K g_{ab}
Where g_{ab} is the metric tensor.
So G_{ab} = R_{ab} - R/2 g_{ab}
= K g_{ab} - R/2 g_{ab}
= K g_{ab} - K g_{ab}
= 0