Word.ws English Dictionary

differentiable manifold

differentiable manifold noun: a manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;.

Noun

differentiable manifold (plural differentiable manifolds)

  1. (differential geometry) A manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;
    • 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.
    • Whitney showed that a differentiable manifold Mᵏ can be regularly mapped on the vector space R#123;2k#125;.1950, L. S. Pontryagin, Characteristic Cycles on Differentiable Manifolds, American Mathematical Society, page 33
  2. (differential geometry, more formally) a manifold that can be equipped with a differentiable structure (an atlas of ℝⁿ-compatible charts).

differentiable manifold meaning in Tamil

differentiable manifold in Tamil

வகையிடத்தகு பன்மடிவெளி

Examples of differentiable manifold in a sentence

  • The phase space of a dynamical system will be taken to be a differentiable manifold.1994, N. Aoki, K. Hiraide, Topological Theory of Dynamical Systems: Recent Advances, Elsevier (North-Holland), page 1:
  • In this chapter we introduce differentiable manifolds and smooth maps.2009, Jeffrey Marc Lee, Manifolds and Differential Geometry, American Mathematical Society, page 1:

Forms of differentiable manifold

pluraldifferentiable manifolds
alternative formdifferential manifold

Questions about differentiable manifold

What does differentiable manifold mean?
Differentiable manifold means a manifold that is locally similar enough to a Euclidean space (ℝⁿ) to allow one to do calculus;.
What is differentiable manifold in Tamil?
Differentiable manifold in Tamil is வகையிடத்தகு பன்மடிவெளி. See Differentiable manifold meaning in Tamil.
How do you use differentiable manifold in a sentence?
The phase space of a dynamical system will be taken to be a differentiable manifold.
What part of speech is differentiable manifold?
Differentiable manifold is a noun.
What is the plural of differentiable manifold?
The plural of differentiable manifold is differentiable manifolds.

Words near differentiable manifold in the dictionary

  1. differentation
  2. differentia
  3. differentiabilities
  4. differentiability
  5. differentiable
  6. differentiable manifold
  7. differentiable manifolds
  8. differentiably
  9. differentiae
  10. differential
  11. differential calculus

Source and license

Adapted from Wiktionary: differentiable manifold (page history and authors); differentiable manifold (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “differentiable manifold.” Word.ws, https://word.ws/differentiable_manifold. Based on Wiktionary, CC BY-SA 4.0.