Usually means: Space locally resembling Euclidean space.
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We found 7 dictionaries that define the word differentiable manifold:

General (4 matching dictionaries)
  1. differentiable manifold: Infoplease Dictionary
  2. differentiable manifold: Dictionary.com
  3. Differentiable manifold: Wikipedia, the Free Encyclopedia
  4. differentiable manifold: Wiktionary

Computing (1 matching dictionary)
  1. differentiable manifold: Encyclopedia

Science (2 matching dictionaries)
  1. Differentiable Manifold: Eric Weisstein's World of Mathematics
  2. differentiable manifold: PlanetMath Encyclopedia

Definitions from Wiktionary (differentiable manifold)

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

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