Question

What is the "resonance" in nonlinear discrete systems?

score 78 · Answer 1 · 2021-01-06 22:40:52

78

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What is the "resonance" in nonlinear discrete systems?

Published on 06 Jan 2021 - 22:40

score 48 · Answer 2 · 2021-01-11 14:50:12

48

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Relation Between Isometries in Manifolds and Dynamical Systems

Published on 11 Jan 2021 - 14:50

score 92 · Answer 3 · 2021-01-18 17:06:42

92

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Show through $\varphi (z) = \frac{z-i}{z+1}$ diffeomorphism $\mathbb{R}^{2}_{+}\longrightarrow U$, defined w.r.t. the hyperbolic metric is an isometry

Published on 18 Jan 2021 - 17:06

score 116 · Answer 4 · 2021-02-10 08:16:42

116

Views

What is the transformation of the tangent vector field of a curve under the one-parameter diffeomorphism group generated by a vector field?

Published on 10 Feb 2021 - 8:16

score 41 · Answer 5 · 2021-02-14 20:33:42

41

Views

When does there exist a diffeomorphism between geodesics of distinct derivative operators?

Published on 14 Feb 2021 - 20:33

score 979 · Answer 6 · 2021-02-22 11:32:59

979

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Prove that the tangent space of a submanifold is a subspace of the tangent space of the manifold

Published on 22 Feb 2021 - 11:32

score 134 · Answer 7 · 2021-02-25 23:23:06

134

Views

Image of a ball by a diffeomorphism

Published on 25 Feb 2021 - 23:23

score 29 · Answer 8 · 2021-02-26 16:59:25

29

Views

If $f:M(n\times n) \to Sym(n \times n) \subset M(n\times n)$, Show $Sym(n \times n)$ is diffeomorphic to $\mathbb{R^{n(n-1)\over{2}}}$

Published on 26 Feb 2021 - 16:59

score 157 · Answer 9 · 2021-02-28 19:16:24

157

Views

$f: M \to \mathbb R$, smooth, $\varphi_t$ 1 parameter group of diffeomorphisms, then $df(\varphi_t(x))/dt = 1$

Published on 28 Feb 2021 - 19:16

score 132 · Answer 10 · 2026-03-26 07:58:31

132

Views

Diffeomorphism from $T M$ to $M \times \mathbb{R}^2$.

Published on 26 Mar 2026 - 7:58

score 35 · Answer 11 · 2021-03-14 11:27:35

35

Views

Are two embeddings of the 2-sphere connected by a flow?

Published on 14 Mar 2021 - 11:27

score 141 · Answer 12 · 2021-03-17 08:03:52

141

Views

Left invariant k-form

Published on 17 Mar 2021 - 8:03

score 91 · Answer 13 · 2021-03-17 11:29:32

91

Views

Given a strongly convex smooth function, does there exist a diffeomorphic transformation to a quadratic function?

Published on 17 Mar 2021 - 11:29

score 346 · Answer 14 · 2021-03-18 21:15:16

346

Views

How to prove that $\phi=f:S\rightarrow \mathbb{S}^2$ is a bijection without using $h$?

Published on 18 Mar 2021 - 21:15

score 39 · Answer 15 · 2021-03-23 13:18:16

39

Views

Global diffeomorphisms and manifolds

Published on 23 Mar 2021 - 13:18

List Question

What is the "resonance" in nonlinear discrete systems?

Relation Between Isometries in Manifolds and Dynamical Systems

Show through $\varphi (z) = \frac{z-i}{z+1}$ diffeomorphism $\mathbb{R}^{2}_{+}\longrightarrow U$, defined w.r.t. the hyperbolic metric is an isometry

What is the transformation of the tangent vector field of a curve under the one-parameter diffeomorphism group generated by a vector field?

When does there exist a diffeomorphism between geodesics of distinct derivative operators?

Prove that the tangent space of a submanifold is a subspace of the tangent space of the manifold

Image of a ball by a diffeomorphism

If $f:M(n\times n) \to Sym(n \times n) \subset M(n\times n)$, Show $Sym(n \times n)$ is diffeomorphic to $\mathbb{R^{n(n-1)\over{2}}}$

$f: M \to \mathbb R$, smooth, $\varphi_t$ 1 parameter group of diffeomorphisms, then $df(\varphi_t(x))/dt = 1$

Diffeomorphism from $T M$ to $M \times \mathbb{R}^2$.

Are two embeddings of the 2-sphere connected by a flow?

Left invariant k-form

Given a strongly convex smooth function, does there exist a diffeomorphic transformation to a quadratic function?

How to prove that $\phi=f:S\rightarrow \mathbb{S}^2$ is a bijection without using $h$?

Global diffeomorphisms and manifolds

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