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differentiable manifold
(redirected from Smooth manifolds)

    Also found in: Wikipedia 0.01 sec.
differentiable manifold [‚dif·ə′ren·chə·bəl ′man·ə‚fōld]
(mathematics)
A topological space with a maximal differentiable atlas; roughly speaking, a smooth surface.
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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.
A different dimension by Peterson, Ivars / Science News
00 Hardcover QA303 Hubbard (Cornell University) introduces matrices for solving systems of linear equations and approximating nonlinear ones, defines smooth manifolds, discusses Riemann and Lebesgue integrals, computes the volume of manifolds, and uses differential forms to justify the generalized Stokes's theorem.
Vector calculus, linear algebra, and differential forms; a unified ... by SciTech Book News
Ranging from the later 1950s and into the later 1960s, these papers and include the "exotic spheres," including a procedure for killing homotopy groups of differentiable manifolds; expository lectures on topology, differentiable structures, and smooth manifolds with boundary based on "Variedades diferenciables con frontera", papers on relations with algebraic topology, and a series on cobiordism that is evidence of a staggering level of work done in a very short time.
Collected papers of John Milnor; differential topology by SciTech Book News
 
 
 
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