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Meaning of differentiable manifold

dif'feren'tiable man'ifold

Pronunciation: [key]
— Math. Math.
  1. a manifold having the property that any two overlapping open sets are homeomorphic to locally Euclidean spaces whose coordinates are related by differentiable functions, a property with wide applications in mathematical physics and differential geometry.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.