riemannianEDist — Mathlib

English

The previous definition of riemannianEDist equals the infimum of lintegrals of mfderiv over all measurable paths.

Русский

Предыдущее определение riemannianEDist равно инфимууму лин-интегралов mfderiv по всем измеримым путям.

LaTeX

$$riemannianEDist I x y = iInf (γ) (iInf x1) ∫⁻ t ∈ [0,1] ‖mfderiv …‖ dt$$

Lean4

/-- The Riemannian extended distance between two points, in a manifold where the tangent spaces
have an extended norm, defined as the infimum of the lengths of `C^1` paths between the points. -/
noncomputable def riemannianEDist :=
  val_proj @wrapped✝.{}

Похожие утверждения