👉 In mathematics, a manifold is an abstract space that can be thought of as having properties which are shared by all points in it. Manifolds are used to represent and study various types of geometric objects such as surfaces, curves, and spaces. A manifold is characterized by its ability to locally look like a three-dimensional Euclidean space without actually being one. This property allows us to think about the shape of manifolds in terms of their "topology." Manifolds are not inherently defined