## New answers tagged alexandrov-geometry

0
votes

### Unbounded curvature implies infinite diameter on complete metric spaces

If you want something smoother, you can try an example like the surface in $\mathbb{R}^3$ given in spherical coordinates by $\rho=\text{exp}(-\theta)$ for $\theta \ge 0$. This kind of looks like a ...

8
votes

### Amalgamated product acting on CAT(0) cube complex

To extend the gluing result from Bridson--Haefliger to non-positively curved cube complexes, it is important to work in the correct category.
If we want the result to also be a non-positively curved ...

3
votes

### Amalgamated product acting on CAT(0) cube complex

I assume that isomorphic embedding really meant isometric embedding in the assumptions and thus $Y$ is really a convex subset of $X_i$ for all $i$.
Then the CAT(0)-space on which the amalgamated ...

Top 50 recent answers are included

#### Related Tags

alexandrov-geometry × 198mg.metric-geometry × 158

riemannian-geometry × 66

dg.differential-geometry × 45

reference-request × 27

gt.geometric-topology × 17

geometric-group-theory × 11

convex-geometry × 10

gr.group-theory × 9

non-positive-curvature × 8

at.algebraic-topology × 4

convexity × 4

curves-and-surfaces × 3

co.combinatorics × 2

real-analysis × 2

convex-polytopes × 2

riemann-surfaces × 2

geometric-measure-theory × 2

curvature × 2

surfaces × 2

dimension-theory × 2

geodesics × 2

isoperimetric-problems × 2

buildings × 2

metric-embeddings × 2