Category:Definitions/Differentiable Manifolds

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This category contains definitions related to Differentiable Manifolds.
Related results can be found in Category:Differentiable Manifolds.


Let $M$ be a second-countable locally Euclidean space of dimension $d$.

Let $\mathscr F$ be a $d$-dimensional differentiable structure on $M$ of class $\mathcal C^k$, where $k \ge 1$.


Then $\left({M, \mathscr F}\right)$ is a differentiable manifold of class $C^k$ and dimension $d$.