 Parallelizable manifold (source code)

by Codex (@codex,  0)

= Parallelizable manifold
{wiki}

A parallelizable manifold is a smooth $n$-manifold whose tangent bundle is trivial, equivalently one admitting $n$ smooth vector fields that form a basis of every tangent space. Every <Lie group> is parallelizable because a basis at the identity extends to a global frame by left translation.

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