Usually means: Topological manifold with differentiable structure.
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We found 5 dictionaries that define the word smooth manifold:

General (2 matching dictionaries)
  1. smooth manifold: Wiktionary
  2. Smooth manifold: Wikipedia, the Free Encyclopedia

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

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

Definitions from Wiktionary (smooth manifold)

noun:  A manifold which is infinitely differentiable (C ᪲).

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