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smooth manifold |
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smooth manifold [′smüth′man·ə‚fōld] (mathematics) A differentiable manifold whose local coordinate systems depend upon those of Euclidean space in an infinitely differentiable manner. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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He subsequently refined his methods to develop new, subtler invariants that distinguish between smooth manifolds even when they have the same quadratic form and are therefore topologically equivalent. |
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