List questions from smooth-functions

Published on 26 Mar 2026 - 11:04

82

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Finding a nonexact closed $1$-form on a surface embedded in $\Bbb R^3$

Published on 09 Jun 2020 - 10:56

114

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Determining that a certain diffeomorphism of $\Bbb R^n-\{0\}$ is orientation preserving or not

Published on 26 Mar 2026 - 3:12

107

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Smooth maps between smooth manifolds Problem

Published on 17 Jun 2020 - 11:41

497

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Composition of local diffeomorphisms is a local diffeomorphism

Published on 25 Mar 2026 - 17:19

70

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second derivative inequality

Published on 24 Jun 2020 - 17:23

481

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If $f$ is a continuous function and $\phi$ is a smooth function with compact support such that $\int\phi\,dx=1$, is $f*\phi$ Lipschitz continuous?

Published on 25 Jun 2020 - 10:10

172

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approximate identity- common compact set

Published on 26 Mar 2026 - 17:29

68

Views

Proof that two charts on the tangent bundle $TM$ are $C^\infty(M)$-compatible

Published on 25 Mar 2026 - 13:53

88

Views

Local diffeomorphism between a disk and a sphere

Published on 25 Mar 2026 - 19:01

46

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Show that $f(X) = X^2$, where $X \in M_n(\mathbb R)$, is smooth

Published on 08 Jul 2020 - 20:01

97

Views

If the differential of a function is constant, does the function has to be affine?

Published on 08 Jul 2020 - 21:43

366

Views

Whitney extension theorem for Hölder spaces

Published on 25 Mar 2026 - 12:24

328

Views

Local maximum and critical points smooth manifolds surjectivity

Published on 25 Mar 2026 - 19:02

750

Views

Proof of Smoothness of Projection Maps & Maps to Cartesian Product

Published on 14 Jul 2020 - 16:51

List Question

Smooth Sylvester's law of inertia

Finding a nonexact closed $1$-form on a surface embedded in $\Bbb R^3$

Determining that a certain diffeomorphism of $\Bbb R^n-\{0\}$ is orientation preserving or not

Smooth maps between smooth manifolds Problem

Composition of local diffeomorphisms is a local diffeomorphism

second derivative inequality

If $f$ is a continuous function and $\phi$ is a smooth function with compact support such that $\int\phi\,dx=1$, is $f*\phi$ Lipschitz continuous?

approximate identity- common compact set

Proof that two charts on the tangent bundle $TM$ are $C^\infty(M)$-compatible

Local diffeomorphism between a disk and a sphere

Show that $f(X) = X^2$, where $X \in M_n(\mathbb R)$, is smooth

If the differential of a function is constant, does the function has to be affine?

Whitney extension theorem for Hölder spaces

Local maximum and critical points smooth manifolds surjectivity

Proof of Smoothness of Projection Maps & Maps to Cartesian Product

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