# differentiable manifold

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## differentiable manifold

[‚dif·ə′ren·chə·bəl ′man·ə‚fōld]
(mathematics)
A topological space with a maximal differentiable atlas; roughly speaking, a smooth surface.
References in periodicals archive ?
They cover differentiable manifolds, Finsler metrics, connections and curvatures, S-curvature, Riemann curvature, projective changes, comparison theorems, fundamental groups of Finsler manifolds, minimal immersions and harmonic maps, Einstein metrics, and miscellaneous topics.
Boothby, Introduction to Differentiable Manifolds and Riemannian Geometry, Academic Press, Orlando, Fla, USA, 2nd edition, 2002.
Our approach is based on the following sampling existence theorem for differentiable manifolds that was recently presented and applied in the context of Image Processing ([47], [48]) (1):
Indeed, let N and M be two differentiable manifolds and x: N [right arrow] M be a differentiable submanifold map.
The textbook is for graduate students who are interested in analysis and geometry and have completed basic first courses in real and complex analysis, differentiable manifolds, and topology.
His dissertation was entitled Substructure of Differentiable Manifolds and Riemannian Spaces with Singularities.
Nakagawa, On differentiable manifolds with certain almost contact structures, Sci.
This text for graduate students and research mathematicians progresses from differentiable manifolds and the tangent structure through the local Frobenius theorem, covariant derivatives, and Riemannian and semi-Riemannian geometry.
We remark that higher order rate distortion manifolds are likely to give better approximations than lower ones, in the same sense that second order tangent structures give better, if more complicated, approximations in conventional differentiable manifolds.
We have used differentiable manifolds through out this paper.
Structures on a differentiable manifolds and their applications, Chandrama Prakashan, 50-A, Bairampur House, Allahabad, 1984.

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