Question

Do curves with $(\phi\circ\gamma_1)'(0)=(\phi\circ\gamma_2)'(0)$ for a chart $\phi$ also have same derivative with respect to another chart?

score 208 · Answer 1 · 2026-03-26 06:21:08

208

Views

Do curves with $(\phi\circ\gamma_1)'(0)=(\phi\circ\gamma_2)'(0)$ for a chart $\phi$ also have same derivative with respect to another chart?

Published on 26 Mar 2026 - 6:21

score 135 · Answer 2 · 2020-11-09 15:24:32

135

Views

Diffeomorphism between $SO(3)$ and $U\subset \mathbb{R}^n$ is bi-Lipschitz?

Published on 09 Nov 2020 - 15:24

score 204 · Answer 3 · 2020-11-11 20:05:25

204

Views

Diffeomorphism from $n$-cone to $\mathbb{R}^{n+1}$ -- parametric equation of geodesic?

Published on 11 Nov 2020 - 20:05

score 505 · Answer 4 · 2020-11-12 10:16:15

505

Views

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Published on 12 Nov 2020 - 10:16

score 69 · Answer 5 · 2020-11-15 10:17:03

69

Views

Showing that $f$ is $C^{\infty}$ using the equation $\frac{d^2f}{dx^2} = f\frac{df}{dx}$.

Published on 15 Nov 2020 - 10:17

score 107 · Answer 6 · 2026-03-25 19:10:51

107

Views

Showing that $D^2\setminus S^1$ is diffeomorphic to $\mathbb{R}^2$

Published on 25 Mar 2026 - 19:10

score 528 · Answer 7 · 2026-03-22 23:02:14

528

Views

Inverse function theorem and local diffeomorphisms

Published on 22 Mar 2026 - 23:02

score 286 · Answer 8 · 2020-12-02 21:59:30

286

Views

Diffeomorphism of product manifolds given diffeomorphisms on the factors.

Published on 02 Dec 2020 - 21:59

score 58 · Answer 9 · 2020-12-02 23:22:21

58

Views

If $0$ is the unique critical value of $f$, than, with $ab>0$, $f^{-1}(a)$ and $f^{-1}(b)$ are diffeomorphics

Published on 02 Dec 2020 - 23:22

score 128 · Answer 10 · 2020-12-04 04:52:11

128

Views

submanifold and diffeomorphism

Published on 04 Dec 2020 - 4:52

score 43 · Answer 11 · 2020-12-09 07:31:48

43

Views

Finding two skew symmetric matrices with same exponential value

Published on 09 Dec 2020 - 7:31

score 414 · Answer 12 · 2020-12-25 16:16:14

414

Views

Differential structures on $\mathbb{R}$

Published on 25 Dec 2020 - 16:16

score 482 · Answer 13 · 2020-12-31 14:22:16

482

Views

The boundary of a manifold has empty boundary

Published on 31 Dec 2020 - 14:22

score 82 · Answer 14 · 2021-01-01 18:27:13

82

Views

Finding the inverse of a multivariable function

Published on 01 Jan 2021 - 18:27

score 311 · Answer 15 · 2021-01-04 11:49:51

311

Views

Difference of homomorphism and diffeomorphism between two smooth manifolds

Published on 04 Jan 2021 - 11:49

List Question

Do curves with $(\phi\circ\gamma_1)'(0)=(\phi\circ\gamma_2)'(0)$ for a chart $\phi$ also have same derivative with respect to another chart?

Diffeomorphism between $SO(3)$ and $U\subset \mathbb{R}^n$ is bi-Lipschitz?

Diffeomorphism from $n$-cone to $\mathbb{R}^{n+1}$ -- parametric equation of geodesic?

Why has a diffeomorphism full rank?

Showing that $f$ is $C^{\infty}$ using the equation $\frac{d^2f}{dx^2} = f\frac{df}{dx}$.

Showing that $D^2\setminus S^1$ is diffeomorphic to $\mathbb{R}^2$

Inverse function theorem and local diffeomorphisms

Diffeomorphism of product manifolds given diffeomorphisms on the factors.

If $0$ is the unique critical value of $f$, than, with $ab>0$, $f^{-1}(a)$ and $f^{-1}(b)$ are diffeomorphics

submanifold and diffeomorphism

Finding two skew symmetric matrices with same exponential value

Differential structures on $\mathbb{R}$

The boundary of a manifold has empty boundary

Finding the inverse of a multivariable function

Difference of homomorphism and diffeomorphism between two smooth manifolds

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