List questions from diffeomorphism

Published on 21 May 2019 - 5:39

114

Views

$C^{r-1}$ Diffeomorphisms on $C^r$ manifolds

Published on 25 May 2019 - 12:58

261

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Lifts of orientation preserving diffeomorphisms of the circle

Published on 29 May 2019 - 22:38

314

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Example diffeomorphism of a rectangle onto itself

Published on 11 Jun 2019 - 13:27

144

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Injective smooth map which is immersive and submersive is actually a global diffeomorphism

Published on 12 Jun 2019 - 7:24

720

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Show $S^n \setminus \{p,q\} $ is diffeomorphic to $\mathbb R^n \setminus\{0\}$.

Published on 13 Jun 2019 - 7:09

90

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How do we find $M$ which maximizes the expression $\lVert f_{n}(x,M)\rVert_{2}$?

Published on 13 Jun 2019 - 22:49

93

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Do I misunderstand the definition of diffeomorphism?

Published on 14 Jun 2019 - 17:16

133

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Showing that $f:S_1 \to S_2$ is a conformal mapping.

Published on 15 Jun 2019 - 8:43

2.2k

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Intuition for the role of diffeomorphisms

Published on 17 Jun 2019 - 20:22

649

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Is the differential between tangent bundles $F_*: TN \to TM$ smooth?

Published on 20 Jun 2019 - 13:38

360

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Is a map $G$ composed with a local diffeomorphism smooth iff $G$ is smooth?

Published on 22 Jun 2019 - 23:13

105

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Immersions that are not diffeomorphisms from open sets of $\mathbb{R}^n$ to itself

Published on 11 Jul 2019 - 21:07

287

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Showing a manifold is smooth by constructing a diffeomorphism

Published on 16 Jul 2019 - 16:25

878

Views

Is being diffeomorphic to a manifold equivalent to being a manifold?

Published on 31 Jul 2019 - 13:16

List Question

Does a local isometry imply that the first fundamental form has F=0

$C^{r-1}$ Diffeomorphisms on $C^r$ manifolds

Lifts of orientation preserving diffeomorphisms of the circle

Example diffeomorphism of a rectangle onto itself

Injective smooth map which is immersive and submersive is actually a global diffeomorphism

Show $S^n \setminus \{p,q\} $ is diffeomorphic to $\mathbb R^n \setminus\{0\}$.

How do we find $M$ which maximizes the expression $\lVert f_{n}(x,M)\rVert_{2}$?

Do I misunderstand the definition of diffeomorphism?

Showing that $f:S_1 \to S_2$ is a conformal mapping.

Intuition for the role of diffeomorphisms

Is the differential between tangent bundles $F_*: TN \to TM$ smooth?

Is a map $G$ composed with a local diffeomorphism smooth iff $G$ is smooth?

Immersions that are not diffeomorphisms from open sets of $\mathbb{R}^n$ to itself

Showing a manifold is smooth by constructing a diffeomorphism

Is being diffeomorphic to a manifold equivalent to being a manifold?

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