Theorems · Theorem · differential geometry

IsRiemannianManifold.out

∀ {E : Type u_1} {inst : NormedAddCommGroup E} {inst_1 : NormedSpace ℝ E} {H : Type u_2} {inst_2 : TopologicalSpace H}
  {I : ModelWithCorners ℝ E H} {M : Type u_3} {inst_3 : TopologicalSpace M} {inst_4 : PseudoEMetricSpace M}
  {inst_5 : ChartedSpace H M} {inst_6 : Bundle.RiemannianBundle fun x => TangentSpace I x}
  [self : IsRiemannianManifold I M] (x y : M), edist x y = Manifold.riemannianEDist I x y

Defined in

Mathlib.Geometry.Manifold.Riemannian.Basic

Cited by

0 results in Mathlib

Foundations

Depth 248 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

IsRiemannianManifold