Cartan's first structure equation
= Cartan's first structure equation
{c}
Cartan's first structure equation is
$$
T^a=d\theta^a+\omega^a{}_b\wedge\theta^b.
$$
For the torsion-free <Levi-Civita connection>, $T^a=0$.
= Cartan's first structure equation
{c}
Cartan's first structure equation is
$$
T^a=d\theta^a+\omega^a{}_b\wedge\theta^b.
$$
For the torsion-free <Levi-Civita connection>, $T^a=0$.