User Amr

15 votes

6 answers

3k views

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

asked Apr 17, 2013 at 12:31

13 votes

1 answer

661 views

Is an inextensible manifold necessarily compact?

asked Nov 18, 2022 at 17:17

11 votes

1 answer

359 views

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

asked Dec 7, 2022 at 6:28

9 votes

1 answer

245 views

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

asked Apr 24, 2023 at 2:38

8 votes

4 answers

516 views

Must a bending of the cylinder leave the bases planar?

asked Mar 20, 2018 at 20:42

7 votes

1 answer

635 views

Composition of power series is power series?

asked Jun 30, 2023 at 1:21

7 votes

1 answer

304 views

Example of non homogenous manifold with a finitely generated algebra of natural functions

asked Dec 2 at 1:16

7 votes

1 answer

177 views

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

asked Nov 21, 2019 at 21:56

7 votes

1 answer

268 views

Algebraic condition that distinguishes embedded from immersed lie subgroups

asked Dec 7, 2019 at 15:34

5 votes

0 answers

112 views

Can a manifold be triangulated with minimal surfaces

asked May 18, 2021 at 14:27

3 votes

2 answers

542 views

$O(n)$ Polynomial invariant of symmetric tensors

asked Jun 30, 2021 at 14:56

3 votes

1 answer

130 views

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

asked Mar 23, 2016 at 23:05

3 votes

1 answer

182 views

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

asked Apr 4, 2019 at 23:18

2 votes

1 answer

185 views

Local equality of functions implies global equality?

asked Jun 26, 2023 at 1:09

2 votes

1 answer

88 views

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

asked Nov 17, 2016 at 0:14

1 vote

1 answer

511 views

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

asked Apr 3, 2017 at 21:36

1 vote

0 answers

251 views

Continuous Dependence of ode solution on parameters [closed]

asked Oct 5, 2017 at 15:38

1 vote

1 answer

291 views

What is the status of the smooth version of bellows conjecture

asked Feb 28, 2018 at 17:25

1 vote

0 answers

97 views

Is there a natural connection on $TM$?

asked Jan 14, 2022 at 17:00

1 vote

1 answer

791 views

Question about interpretation of algebraic notation in differential geometry paper

asked May 22, 2019 at 15:03

0 votes

1 answer

98 views

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

asked Mar 13, 2023 at 20:02

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21 Questions

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

Is an inextensible manifold necessarily compact?

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

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

Must a bending of the cylinder leave the bases planar?

Composition of power series is power series?

Example of non homogenous manifold with a finitely generated algebra of natural functions

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

Algebraic condition that distinguishes embedded from immersed lie subgroups

Can a manifold be triangulated with minimal surfaces

$O(n)$ Polynomial invariant of symmetric tensors

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

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

Local equality of functions implies global equality?

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

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

Continuous Dependence of ode solution on parameters [closed]

What is the status of the smooth version of bellows conjecture

Is there a natural connection on $TM$?

Question about interpretation of algebraic notation in differential geometry paper

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