Smooth structure
≈ 1 min read
Names in other languages
No names in other languages are held for this entry yet.
Article bodies are English and are not machine-translated. A name in another language is not a translation of the article.
In mathematics, a smooth structure on a manifold allows for an unambiguous notion of smooth function. In particular, a smooth structure allows mathematical analysis to be performed on the manifold.
In mathematics, a smooth structure on a manifold allows for an unambiguous notion of smooth function. In particular, a smooth structure allows mathematical analysis to be performed on the manifold. If \mu and \nu are two maximal atlases on M the two smooth structures associated to \mu and \nu are said to be equivalent if there is a diffeomorphism f : M \to M such that \mu \circ f = \nu.
See also
Text derived from https://en.wikipedia.org/w/index.php?oldid=1300229338 under CC BY-SA 4.0; modifications have been made.