Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with smooth-manifolds
Search options not deleted
user 363264
Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].
17
votes
2
answers
997
views
Homotopy equivalent but non-homeomorphic high-dimensional manifolds
I have a question motivated by the classification theory of simply-connected closed $4$-manifolds.
Questions: Given any $n\geq 5$, is it possible to find two simply-connected closed $n$-manifolds $M$ …
- 1,097
2
votes
1
answer
291
views
In which dimensions is it true that every topological ball embedded by a smoothly embedded s...
I asked a question on MSE with no answer. Here is my question in the generalized version.
Question 1: Suppose we are given a connected three-manifold $M$ (possibly non-compact, or non-orientable) and …
- 1,097
3
votes
0
answers
189
views
The boundary of the transversal pre-image of a submanifold with boundary
A similar question on MSE without answer.
Let $M, N$ be smooth manifolds such that $\partial N=\varnothing$. Let $A$ be a smoothly embedded submanifold of $N$ such that $\partial A\neq \varnothing$. S …
- 1,097
1
vote
1
answer
143
views
Transversal pre-image of a small enough trivial tubular neighborhood contains a trivial tubu...
A similar post on MSE without answer.
Let $f\colon M'\to M$ be a smooth map between two orientable closed smooth manifolds and $S$ be a smoothly embedded closed orientable submanifold of $M$ of co-dim …
- 1,097
3
votes
0
answers
193
views
An almost complex structure on $\Bbb S^n$ induces a cross product on $\Bbb R^{n+1}$
It is known that the only spheres that admit an almost complex structures are $\Bbb S^2$ and $\Bbb S^6$ (Borel and Serre, 1953). In particular, $\Bbb S^4$ cannot be given an almost complex structure ( …
- 1,097