New posts in metric-geometry

Bijective local isometry to global isometry

differential-geometry metric-spaces differential-topology metric-geometry

Why aren't the lines in taxicab geometry the geodesics of the $L^1$ metric?

geometry soft-question metric-geometry

isometries of the sphere

geometry surfaces metric-geometry

Lower semi-continuity of one dimensional Hausdorff measure under Hausdorff convergence

real-analysis analysis metric-spaces metric-geometry

Metric Isometry is always smooth?

metric-spaces riemannian-geometry smooth-manifolds metric-geometry

A set of points is contained in a sphere $S$. When is $S$ also the circumsphere?

euclidean-geometry spheres convex-geometry convex-hulls metric-geometry

Gromov-Hausdorff convergence to a circle

fundamental-groups metric-geometry

Is there an explicit left invariant metric on the general linear group?

metric-spaces lie-groups symmetry metric-geometry

A norm which is symmetric enough is induced by an inner product?

linear-algebra normed-spaces inner-products isometry metric-geometry

How to show that $\mathbb R^n$ with the $1$-norm is not isometric to $\mathbb R^n$ with the infinity norm for $n>2$?

metric-spaces convex-analysis normed-spaces metric-geometry

Continuous quasi-isometry between Riemannian manifolds

riemannian-geometry geometric-topology metric-geometry

Finding an invisible circle by drawing another line

geometry recreational-mathematics euclidean-geometry circles metric-geometry

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

linear-algebra normed-spaces inner-products isometry metric-geometry