New posts in isometry

If two Riemannian manifolds can be isometrically immersed in each other, are they isometric?

If every five point subset of a metric space can be isometrically embedded in the plane then is it possible for the metric space also?

proof that the instantaneous center of rotation has to have zero speed

Prove that isometries of the hyperbolic plane map horocycles to horocycles

Fixed Points Set of an Isometry

How many ways are there to fill a 3 × 3 grid with 0s and 1s?

Why the isometry $h(v)=Av+w$ is a rotation around $P$ when $\det A=1$

Difference between orthogonal and orthonormal matrices

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

Katok's Fuchsian groups: Properly discontinuous action - homeomorphisms vs isometries hypotheses

Is the continuous part of the symmetry group of a compact subset $\mathbb{R}^3$ isomorphic to $SO(k)$?

Let, $A\subset\mathbb{R}^2$. Show that $A$ can contain at most one point $p$ such that $A$ is isometric to $A \setminus \{p\}$.