Even though this is a fairly old site there is some great information
https://www.motorcycleanchor.com/motorcy ... tires.html
Here are some key points:
PROFILE DESIGN:
Although we've talked about the grooves cut into a tire, we haven't discussed the actual profile of a tire (the outer curve of a tire when you look at it head-on). Different tires have different profiles, and generally speaking, a more triangular radius (think pointier) tire will handle faster, while a tire with a wide slow arc will handle more slowly but provide more straight-line stability (because of a larger center section to track flatly on).
Manufacturers have been tweaking these parameters for decades to get benefits. Personally, I like Metzeler's solution (also implimented on some Pirelli tires as well) of a triple-radius design, which instead of having a single arc shape, actually has three arcs, each at a different curvature (so you get the benefit of the stability in the very center, with progressively faster handling as you lean further over).
FITMENT SIZE:
Your rims are a certain size across from edge to edge (the short way), and specific diameter. The tires rated for your bike are designed to fit into this wheel (think "tire retainer" instead of the term wheel), while maintaining proper contact at the edges to keep the tire just rigid enough, not distorting the profile design (by rebending it to fit a narrower or wider gap at the base), and still clear everything else that the tire might rub on (such as the swing arms, the chain, etc).
NARROW VS WIDE: Although wide tires are all the rage now, narrower tires handle better under most real world conditions.