Suppose G is a Lie group. (a) Show that there is a unique connection ∇in T G with the property that every left-invariant vector field is parallel. (b) Show that the torsion tensor of ∇(Problem 4-6) is zero if and only if G is abelian. | Numerade
Suppose G is a Lie group. (a) Show that there is a unique connection …
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Using Eq. (36.6) show that the Levi-Civita connection satisfies... | Filo
Using Eq. (36.6) show that the Levi-Civita connection satisfies... | Filo
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