User Asaf Shachar

10 votes

1 answer

405 views

is there a diffeomorphism with only finite orbits but of infinite order?

asked May 2, 2015 at 14:41

10 votes

2 answers

926 views

Is there a volume-preserving diffeomorphism of the disk with prescribed singular values?

asked Feb 18, 2020 at 9:35

10 votes

1 answer

696 views

How to shrink a square with minimal distortion?

asked Feb 5, 2021 at 7:57

9 votes

2 answers

875 views

Can we perturb a map $\mathbb{R}^n \to \mathbb{R}^n$ to have high rank?

asked Oct 13, 2019 at 9:06

9 votes

0 answers

361 views

Which polynomials in the minors of a matrix are invariant under conjugation?

asked Sep 22, 2018 at 5:43

9 votes

2 answers

467 views

Can we recover all $k$-minors of a square matrix from some of them?

asked Nov 15, 2019 at 9:03

9 votes

1 answer

1k views

Under what conditions a linear automorphism is an isometry of some norm?

asked Jun 13, 2015 at 8:47

9 votes

2 answers

478 views

Is there a $W^{2,2}$ isometric embedding of the flat torus into $\mathbb{R}^3$?

asked Nov 21, 2017 at 5:21

9 votes

1 answer

874 views

Proofs that the conformal group in dimension $\ge 3$ is a Lie group

asked Jan 21, 2018 at 9:29

9 votes

2 answers

499 views

There is no arcwise isometry from a high dimensional manifold into a low dimensional manifold

asked Dec 13, 2016 at 22:27

9 votes

0 answers

289 views

Is there a variational interpretation for the equation $\operatorname{div}(\star \circ \bigwedge^k df\circ \star )=0$?

asked Jan 26, 2022 at 9:32

9 votes

1 answer

425 views

Are there functions $\mathbb{F}_2^n \to \mathbb{F}_2$ satisfying these special relations?

asked Mar 5, 2022 at 15:35

9 votes

1 answer

735 views

Where has this structure been observed?

asked Sep 5, 2023 at 10:44

8 votes

0 answers

483 views

Measuring the non-commutativity of the codifferential and pullbacks

asked Mar 4, 2018 at 7:08

8 votes

2 answers

471 views

Obstructions for the wedge of coordinate differentials to be harmonic

asked May 28, 2018 at 7:55

8 votes

1 answer

320 views

Does nonexpanding map between manifolds decrease volume?

asked Sep 9, 2016 at 14:33

8 votes

1 answer

599 views

Can we perturb a map $\mathbb{R}^n \to \mathbb{R}^n$ to have distinct singular values?

asked Oct 11, 2019 at 9:17

7 votes

2 answers

567 views

Is a function of several variables convex near a local minimum when the derivatives are non-degenerate?

asked Jul 29, 2020 at 13:17

7 votes

1 answer

415 views

A diffeomorphism of the torus with constant singular values

asked Nov 8, 2020 at 10:18

7 votes

2 answers

396 views

Is every metric uniformly close to a metric with negative scalar curvature?

asked Sep 3, 2019 at 13:01

7 votes

1 answer

294 views

Is every basis for $\bigwedge^kV$ satisfying a "complementary" property a rescaling of a "standard" basis?

asked Jan 31, 2019 at 14:11

7 votes

0 answers

141 views

A generalization of matrix minors to non-integer values

asked Nov 22, 2018 at 10:18

7 votes

1 answer

373 views

Are metric isometries smooth at the boundary?

asked Oct 27, 2016 at 10:03

7 votes

3 answers

221 views

What is special in dimension $2$ (When characterizing isometries using the cofactor matrix)?

asked Aug 16, 2016 at 21:49

7 votes

1 answer

209 views

Is a Sobolev map with smooth minors smooth on the whole domain?

asked May 30, 2018 at 12:17

7 votes

3 answers

308 views

Automatic transfer of pointwise metric computations to bundle computations

asked Apr 19, 2017 at 7:28

7 votes

3 answers

848 views

"Universal" differential identities

asked May 16, 2017 at 10:12

6 votes

2 answers

207 views

Are all symmetries of the Dirichlet functional isometries?

asked May 3, 2017 at 11:07

6 votes

1 answer

293 views

Which metrics on exterior power are induced from metrics on the base?

asked Jan 11, 2018 at 6:57

6 votes

1 answer

996 views

Is there a smooth polar decomposition for non-invertible matrices?

asked May 4, 2016 at 13:24

Stack Exchange Network

153 Questions

is there a diffeomorphism with only finite orbits but of infinite order?

Is there a volume-preserving diffeomorphism of the disk with prescribed singular values?

How to shrink a square with minimal distortion?

Can we perturb a map $\mathbb{R}^n \to \mathbb{R}^n$ to have high rank?

Which polynomials in the minors of a matrix are invariant under conjugation?

Can we recover all $k$-minors of a square matrix from some of them?

Under what conditions a linear automorphism is an isometry of some norm?

Is there a $W^{2,2}$ isometric embedding of the flat torus into $\mathbb{R}^3$?

Proofs that the conformal group in dimension $\ge 3$ is a Lie group

There is no arcwise isometry from a high dimensional manifold into a low dimensional manifold

Is there a variational interpretation for the equation $\operatorname{div}(\star \circ \bigwedge^k df\circ \star )=0$?

Are there functions $\mathbb{F}_2^n \to \mathbb{F}_2$ satisfying these special relations?

Where has this structure been observed?

Measuring the non-commutativity of the codifferential and pullbacks

Obstructions for the wedge of coordinate differentials to be harmonic

Does nonexpanding map between manifolds decrease volume?

Can we perturb a map $\mathbb{R}^n \to \mathbb{R}^n$ to have distinct singular values?

Is a function of several variables convex near a local minimum when the derivatives are non-degenerate?

A diffeomorphism of the torus with constant singular values

Is every metric uniformly close to a metric with negative scalar curvature?

Is every basis for $\bigwedge^kV$ satisfying a "complementary" property a rescaling of a "standard" basis?

A generalization of matrix minors to non-integer values

Are metric isometries smooth at the boundary?

What is special in dimension $2$ (When characterizing isometries using the cofactor matrix)?

Is a Sobolev map with smooth minors smooth on the whole domain?

Automatic transfer of pointwise metric computations to bundle computations

"Universal" differential identities

Are all symmetries of the Dirichlet functional isometries?

Which metrics on exterior power are induced from metrics on the base?

Is there a smooth polar decomposition for non-invertible matrices?