Question

Diffeomorphism from $\{(x, y) \in \mathbb R^2 : 0 < x^2 + y^2 < 1\}$ to $\{(x, y) \in \mathbb R^2 : x^2 + y^2 > 1\}$

score 129 · Answer 1 · 2026-03-26 04:53:43

129

Views

Diffeomorphism from $\{(x, y) \in \mathbb R^2 : 0 < x^2 + y^2 < 1\}$ to $\{(x, y) \in \mathbb R^2 : x^2 + y^2 > 1\}$

Published on 26 Mar 2026 - 4:53

score 122 · Answer 2 · 2026-03-26 21:25:58

122

Views

Coclosed form is sum of coexact and harmonic form.

Published on 26 Mar 2026 - 21:25

score 60 · Answer 3 · 2023-05-24 18:23:49

60

Views

Find all values of $t$ for which $S_t$ is a submanifold of $\mathbb{R}^2$.

Published on 24 May 2023 - 18:23

score 133 · Answer 4 · 2026-03-25 21:48:09

133

Views

Explicit Lie group embedding of $O(n)$ into $SO(n+1)$

Published on 25 Mar 2026 - 21:48

score 53 · Answer 5 · 2026-03-28 03:34:58

53

Views

On embeddings of $\mathbb{R}^n$ with the same image

Published on 28 Mar 2026 - 3:34

score 180 · Answer 6 · 2026-03-31 19:11:45

180

Views

Generalization of Eigenspaces to Vector Bundles

Published on 31 Mar 2026 - 19:11

score 72 · Answer 7 · 2026-03-25 05:36:23

72

Views

Why does the foliation $\mathcal{F}$ of this Lorentzian manifold also solve the backwards heat equation?

Published on 25 Mar 2026 - 5:36

score 36 · Answer 8 · 2026-04-11 08:27:43

36

Views

Question about extending "locally" local sections

Published on 11 Apr 2026 - 8:27

score 67 · Answer 9 · 2026-04-11 13:45:29

67

Views

Milnor's definition of smooth functions on manifolds as subsets of $\mathbb{R}^k$

Published on 11 Apr 2026 - 13:45

score 39 · Answer 10 · 2026-03-25 04:58:47

39

Views

Which diffeomorphism maximizes the number of solutions by $\mathcal{F}$ to the differential equation?

Published on 25 Mar 2026 - 4:58

score 69 · Answer 11 · 2026-04-11 19:16:35

69

Views

Examples of Topological Spaces which are homeomorphic but not diffeomorphic.

Published on 11 Apr 2026 - 19:16

score 45 · Answer 12 · 2026-04-11 02:48:00

45

Views

Is submodule of space of sections, the space of sections of a subbundle?

Published on 11 Apr 2026 - 2:48

score 47 · Answer 13 · 2023-05-31 17:13:35

Show that the Poincaré dual of $\{(x,0) \mid x > 0 \}$ in $\mathbb{R}^2 \setminus \{0\}$ is $d\theta/2\pi$ in $H^1(\mathbb{R}^2 \setminus \{0\})$.

score 178 · Answer 14 · 2026-04-12 00:03:11

178

Views

Properties of the flow and exponential of a vector field?

Published on 12 Apr 2026 - 0:03

score 38 · Answer 15 · 2026-04-02 11:35:36

38

Views

Pugh Closing lemma and Homoclinic Orbits

Published on 02 Apr 2026 - 11:35

List Question

Diffeomorphism from $\{(x, y) \in \mathbb R^2 : 0 < x^2 + y^2 < 1\}$ to $\{(x, y) \in \mathbb R^2 : x^2 + y^2 > 1\}$

Coclosed form is sum of coexact and harmonic form.

Find all values of $t$ for which $S_t$ is a submanifold of $\mathbb{R}^2$.

Explicit Lie group embedding of $O(n)$ into $SO(n+1)$

On embeddings of $\mathbb{R}^n$ with the same image

Generalization of Eigenspaces to Vector Bundles

Why does the foliation $\mathcal{F}$ of this Lorentzian manifold also solve the backwards heat equation?

Question about extending "locally" local sections

Milnor's definition of smooth functions on manifolds as subsets of $\mathbb{R}^k$

Which diffeomorphism maximizes the number of solutions by $\mathcal{F}$ to the differential equation?

Examples of Topological Spaces which are homeomorphic but not diffeomorphic.

Is submodule of space of sections, the space of sections of a subbundle?

Show that the Poincaré dual of $\{(x,0) \mid x > 0 \}$ in $\mathbb{R}^2 \setminus \{0\}$ is $d\theta/2\pi$ in $H^1(\mathbb{R}^2 \setminus \{0\})$.

Properties of the flow and exponential of a vector field?

Pugh Closing lemma and Homoclinic Orbits

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