Differential geometry

Differential geometry is a branch of mathematics that studies the shape of things like curved surfaces. It looks at how a surface changes when you tilt it or change its size, and it also looks at how curves and shapes might twist or move in relation to each other. To understand differential geometry, think of a playground. A slide can be curved in different ways, depending on how it's built and how you use it. Differential geometry is like figuring out how to adjust the angle of the slide, or measure how much it has curved over time. It also looks at what shape the surface formed by the slide makes, and how that shape changes when you move it.