👉 In mathematics, a manifold is an abstract space that can be thought of as a geometric object that is locally similar to Euclidean space. This means that it has certain properties and features that make it different from Euclidean spaces such as $\mathbb{R}^n$ or $\mathbb{C}$. Manifolds are fundamental in many areas of mathematics, including differential geometry, topology, algebraic geometry, and even quantum mechanics. They can be thought of as abstract spaces with properties