Open dannypsnl opened 1 month ago
Isometry
is rely on PseudoEMetricSpace
, but TangentSpace
will not return this class.
So need to find if TangentSpace
has given inner product.
def TangentSpace {𝕜} [NontriviallyNormedField 𝕜] {E} [NormedAddCommGroup E] [NormedSpace 𝕜 E]
{H} [TopologicalSpace H] (I : ModelWithCorners 𝕜 E H) {M} [TopologicalSpace M]
[ChartedSpace H M] [SmoothManifoldWithCorners I M] (_x : M) : Type* := E
So I can say E
is a normed space, then with edist
?
Proves that $A : S^n \to S^n$ defined by $A(p) = -p$ is an isometry.
Which means