List of manifolds

A manifold is a mathematical space that, at a local level, resembles Euclidean space. Manifolds are foundational in fields like geometry, topology, and physics. The list of manifolds can be categorized in several ways, depending on various properties such as dimension, structure, and topology. Here are some important categories and examples of manifolds: ### 1. **Euclidean Spaces** - **\( \mathbb{R}^n \)**: The n-dimensional Euclidean space.