Just as there are various types of manifolds, there are various types of maps of manifolds.
In geometric topology, the basic types of maps correspond to various 展开

Dual to scalar-valued functions – maps $${\displaystyle \scriptstyle M\to \mathbb {R} }$$ – are maps $${\displaystyle \scriptstyle \mathbb {R} \to M,}$$ which correspond to curves or … 展开

Riemannian manifolds are special cases of metric spaces, and thus one has a notion of Lipschitz continuity, Hölder condition, together with a coarse structure, which leads to notions … 展开

A basic example of maps between manifolds are scalar-valued functions on a manifold, $${\displaystyle \scriptstyle f\colon M\to \mathbb {R} }$$ or $${\displaystyle \scriptstyle f\colon M\to \mathbb {C} ,}$$ sometimes called regular functions or 展开

• Category:Maps of manifolds 展开