Hilbert manifold

A Hilbert manifold is a type of geometry that includes curved surfaces. In this type of geometry, lines can bend and turn more than they would in a regular plane, like a flat sheet of paper. In a Hilbert manifold, those bends and turns can go on forever. This type of space is useful for figuring out how a certain shape affects things like the speed of transmission or how two objects can interact. Think of a Hilbert manifold like a never-ending roller coaster!