Theorems · Definition · global analysis

stereoInvFun

{E : Type u_1} →
  [inst : NormedAddCommGroup E] →
    [inst_1 : InnerProductSpace ℝ E] → {v : E} → ‖v‖ = 1 → ↥(ℝ ∙ v)ᗮ → ↑(Metric.sphere 0 1)

Stereographic projection, reverse direction. This is a map from the orthogonal complement of a unit vector v in an inner product space E to the unit sphere in E.

Defined in

Mathlib.Geometry.Manifold.Instances.Sphere

Cited by

7 results in Mathlib

Foundations

Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpace