Question

Local diffeomorphism between a disk and a sphere

score 87 · Answer 1 · 2020-07-08 18:50:03

87

Views

Local diffeomorphism between a disk and a sphere

Published on 08 Jul 2020 - 18:50

score 174 · Answer 2 · 2020-07-08 21:23:07

174

Views

Classification of diffeomorphisms by association of differentials with Lie groups

Published on 08 Jul 2020 - 21:23

score 33 · Answer 3 · 2020-07-10 01:35:02

33

Views

Need the result of composing an infinite number of smooth functions be smooth?

Published on 10 Jul 2020 - 1:35

score 56 · Answer 4 · 2026-03-25 15:42:24

56

Views

Is the inverse of an interior chart of a submanifold an immersion?

Published on 25 Mar 2026 - 15:42

score 368 · Answer 5 · 2020-07-10 22:33:42

368

Views

Is Gauss map a diffeomorphism onto its image in this case?

Published on 10 Jul 2020 - 22:33

score 64 · Answer 6 · 2026-03-25 15:42:18

64

Views

A chart of a $k$-dimensional submanifold maps interior points to $(\mathbb H^k)^\circ$ and boundary points to $\partial\mathbb H^k$

Published on 25 Mar 2026 - 15:42

score 117 · Answer 7 · 2020-07-18 06:37:53

117

Views

Do diffeomorphisms between arbitrary sets extend to ordinary diffeomorphisms between open sets?

Published on 18 Jul 2020 - 6:37

score 114 · Answer 8 · 2020-07-18 19:04:09

114

Views

If $T_t$ is a diffeomorphism and $t\mapsto T_t(x)$ is differentiable, can we find a map $v$ with $v(t,T_t(x))=\frac{\partial T}{\partial t}(t,x)$?

Published on 18 Jul 2020 - 19:04

score 132 · Answer 9 · 2020-07-18 19:17:02

132

Views

Can we change the order of differentiation here?

Published on 18 Jul 2020 - 19:17

score 71 · Answer 10 · 2020-07-20 07:05:57

71

Views

boundary and interior of an embedded submanifold with boundary described by a single chart

Published on 20 Jul 2020 - 7:05

score 74 · Answer 11 · 2020-07-25 10:00:46

74

Views

Are we allowed to apply the chain rule here?

Published on 25 Jul 2020 - 10:00

score 205 · Answer 12 · 2026-03-25 17:21:46

205

Views

Show that $\{x_1x_2 + x_2x_3+ x_3x_4 =c\}$ is a submanifold of $\mathbb R^4$ and is diffeomorphic to $\mathbb R^2 \times \mathbb S^1$

Published on 25 Mar 2026 - 17:21

score 80 · Answer 13 · 2020-07-30 05:09:05

80

Views

How this function defines a homeomorphism from $\mathbb B^n$ to itself?

Published on 30 Jul 2020 - 5:09

score 167 · Answer 14 · 2023-02-05 20:26:52

167

Views

Are the usual polar coordinates actually diffeomorphisms?

Published on 05 Feb 2023 - 20:26

score 61 · Answer 15 · 2023-02-11 16:34:32

61

Views

Why this overdetermined system has no solutions in general?

Published on 11 Feb 2023 - 16:34

List Question

Local diffeomorphism between a disk and a sphere

Classification of diffeomorphisms by association of differentials with Lie groups

Need the result of composing an infinite number of smooth functions be smooth?

Is the inverse of an interior chart of a submanifold an immersion?

Is Gauss map a diffeomorphism onto its image in this case?

A chart of a $k$-dimensional submanifold maps interior points to $(\mathbb H^k)^\circ$ and boundary points to $\partial\mathbb H^k$

Do diffeomorphisms between arbitrary sets extend to ordinary diffeomorphisms between open sets?

If $T_t$ is a diffeomorphism and $t\mapsto T_t(x)$ is differentiable, can we find a map $v$ with $v(t,T_t(x))=\frac{\partial T}{\partial t}(t,x)$?

Can we change the order of differentiation here?

boundary and interior of an embedded submanifold with boundary described by a single chart

Are we allowed to apply the chain rule here?

Show that $\{x_1x_2 + x_2x_3+ x_3x_4 =c\}$ is a submanifold of $\mathbb R^4$ and is diffeomorphic to $\mathbb R^2 \times \mathbb S^1$

How this function defines a homeomorphism from $\mathbb B^n$ to itself?

Are the usual polar coordinates actually diffeomorphisms?

Why this overdetermined system has no solutions in general?

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