Don’t worry if you don’t know what any of those words mean, because we’ll break it down for ya in a way that won’t put you to sleep (hopefully).

First things first: let’s define our terms. A metric is basically just a fancy word for distance it tells us how far apart two points are on some surface or space. In math, we use different types of metrics depending on what kind of problem we’re trying to solve. For example, the Euclidean metric (which you might remember from high school geometry) is used to measure distances in a flat plane, while the Riemannian metric is used for curved surfaces like spheres or hyperbolic planes.

Now scalar curvature this is a fancy way of measuring how “curvy” a surface is. It’s basically just the sum of all the little bumps and dips on that surface, divided by some other number (which we won’t get into here). If you have a metric with positive scalar curvature, it means that your surface has more “stuff” in it than a flat plane would this can be useful for solving certain types of problems.

But what does all this have to do with surgery? Well, as it turns out, there’s a connection between metrics and surgery (specifically, the kind where we remove parts of an object and then glue them back together). If you start with a metric that has positive scalar curvature, and then perform certain types of surgeries on it, you can end up with new metrics that also have positive scalar curvature. This is pretty cool because it means that we can use surgery to create new solutions to problems that were previously unsolvable!

If this all sounds like gibberish to you, don’t worry just remember that math is supposed to be fun (or at least interesting)! And if you ever need help solving a problem or understanding some concept, feel free to reach out to us here at [insert company name]. We love helping people learn and grow in the world of mathematics.