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Amr
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15 votes
6 answers
3k views

Giving $\mathit{Top}(X,Y)$ an appropriate topology

13 votes
1 answer
645 views

Is an inextensible manifold necessarily compact?

11 votes
1 answer
318 views

Does the Lie algebra of vector fields $\mathfrak{X}(M)$ determine the diffeomorphism class of a manifold $M$?

9 votes
1 answer
236 views

Must a continuous variation through compact simply connected Lie groups preserve topology

8 votes
4 answers
512 views

Must a bending of the cylinder leave the bases planar?

7 votes
1 answer
173 views

What are the manifolds whose Curvature tensor has a globally vanishing $k$th order covariant derivative

7 votes
1 answer
258 views

Algebraic condition that distinguishes embedded from immersed lie subgroups

7 votes
1 answer
523 views

Composition of power series is power series?

5 votes
0 answers
111 views

Can a manifold be triangulated with minimal surfaces

3 votes
1 answer
177 views

Is the continuous dual of a topological chain complex chain equivalent to the algebraic dual?

3 votes
1 answer
129 views

If $\min(\alpha,F)$ has only one root in $E$, must $\min(p(\alpha),F)$ have only one root in $E$

2 votes
1 answer
88 views

If the pseudometrics inherited by two smooth curves are identical, must the curves be isometric?

2 votes
2 answers
368 views

$O(n)$ Polynomial invariant of symmetric tensors

2 votes
1 answer
185 views

Local equality of functions implies global equality?

1 vote
0 answers
97 views

Is there a natural connection on $TM$?

1 vote
1 answer
785 views

Question about interpretation of algebraic notation in differential geometry paper

1 vote
0 answers
251 views

Continuous Dependence of ode solution on parameters [closed]

1 vote
1 answer
285 views

What is the status of the smooth version of bellows conjecture

0 votes
1 answer
466 views

Algebraic independence in polynomial rings over $\mathbb{Z}_n$

0 votes
1 answer
83 views

Must a surjective infinitesmal isometry between simply connected spaces be injective? [duplicate]