Sure. To simplify this, let's imaging some 2D spaces.
* Euclidean Geometry would be a flat plane. If you were to draw the shortest path between two points, it would be a straight line.
* Spherical Geometry would be a sphere. If you were to draw the shortest path between two points on the sphere, it would actually be an arc segment if viewed in 3D space. This is positive curvature.
* For Hyperbolic Geometry, you can look up images of "crochet hyperbolic plane", but it looks a bit like a coral. If you were to draw the shortest path between two points on that, it wouldn't be a line, but it wouldn't necessarily be an arc segment either. It would be a segment of that coral or crochet. This is negative curvature.

The difference between positive and negative curvature is, with positive curvature, the space is curved like a normal sphere, and thus closed. So there is a maximum distance any two objects can have. If a city was in a positively enough curved space, exiting one side would mean entering the other. Meanwhile, in negatively curved space, there is more space between objects the further they travel. If you were to hold hands with someone and try to travel in a straight line in hyperbolic space, you would feel a force pulling you apart relative to how fast you were going and how far apart you already were.

The exact value of the curvature can be defined by how quickly objects traveling in the same direction get closer to each other or move further away from each other, relative to their speed.
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