TangentBundle — Mathlib

English

The tangent bundle is the total space of the bundle with fiber E over M.

Русский

Касательное расслоение есть полное пространство над M с волокном E.

LaTeX

$$TangentBundle := Bundle.TotalSpace E (TangentSpace I)$$

Lean4

/-- The tangent bundle to a manifold, as a Sigma type. Defined in terms of
`Bundle.TotalSpace` to be able to put a suitable topology on it. -/
abbrev TangentBundle :=
  Bundle.TotalSpace E (TangentSpace I : M → Type _)

Похожие утверждения