最終更新日：2024/08/07

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(differential geometry) A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;

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differentiable manifold

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differentiable manifold

A differentiable manifold is a mathematical structure that locally resembles Euclidean space.

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The charts (homeomorphisms) that make up any differentiable structure of a differentiable manifold are required to be such that the transition from one to another is differentiable.

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(more formally) a manifold that can be equipped with a differentiable structure (an atlas of ℝⁿ-compatible charts).

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differentiable manifold

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