Smooth manifolds are topological manifolds with smooth structure, and their study is part of differential geometry. The key objects are smooth manifolds and smooth functions between them, and charts used to describe them locally. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].
Synonyms
smooth-manifoldStats
created |
3 months ago |
viewed |
5 times |
active |
3 months ago |
editors |
1 |
Top Answerers
more »Recent Hot Answers
Parallelizability of the Milnor's exotic spheres in dimension 7How do I make the conceptual transition from multivariable calculus to differential forms?
Is there a preferable convention for defining the wedge product?
How can you tell if a space is homotopy equivalent to a manifold?
Parallelizability of the Milnor's exotic spheres in dimension 7
more »
Related Tags
dg.differential-geometry × 118
riemannian-geometry × 28
complex-geometry × 26
vector-bundles × 20
manifolds × 19
ct.category-theory × 13
reference-request × 13
homotopy-theory × 11
lie-groups × 11
4-manifolds × 9
fibre-bundles × 8
foliations × 7
3-manifolds × 6
sheaf-theory × 6
more related tags