New posts in Isometry

If $T:(\mathbb{R}^2,\|\cdot\|_p) \to (\mathbb{R}^2,\|\cdot\|_q)$ is an onto linear isometry, then must it be $p=q$?

Show for isometry $T:V \rightarrow V$, $\frac{1}{n}\sum_{i=0}^{n-1} T^i$ converges to the orthogonal projection on $ker(T-I)$.

The sphere is not uniformly close to being isometric to Euclidean space

Is projection an isometry from the poincare disk to a two-sheeted hyperboloid?

Isometries of $\mathbb{S}^2$

How to see the various hyperbolic $n$-spaces $\mathbb{H}^n$ aren't quasi-isometric?

Minimal specification of isometry in terms of norm preservation

Classificating the isometries of the Hyperbolic Plane

Isometry group of a norm is always contained in some Isometry group of an inner product?

Under what conditions is a linear automorphism an isometry of some inner product?