Question

Can a smooth map between two embedded submanifolds be (locally) smoothly extended?

score 478 · Answer 1 · 2019-01-24 23:09:08

478

Views

Can a smooth map between two embedded submanifolds be (locally) smoothly extended?

Published on 24 Jan 2019 - 23:09

score 512 · Answer 2 · 2026-02-23 06:02:11

512

Views

Which is the definition of the set of germs $C_p^{\infty}(\mathbb R^n)$? Does $C^{\infty}(U)$ consist of germs or functions?

Published on 23 Feb 2026 - 6:02

score 137 · Answer 3 · 2019-01-26 09:42:19

137

Views

Is there a missing definition for addition of vector fields?

Published on 26 Jan 2019 - 9:42

score 28 · Answer 4 · 2019-01-27 21:28:43

28

Views

Complex smooth maps over $(0 , \infty) \times G$.

Published on 27 Jan 2019 - 21:28

score 90 · Answer 5 · 2019-01-29 12:54:32

90

Views

Is any $C_c^\infty(\mathbb R)$-function the product of two $C_c^\infty(\mathbb R)$-functions?

Published on 29 Jan 2019 - 12:54

score 45 · Answer 6 · 2019-01-29 14:36:23

45

Views

If $\beta$ is a continuous function with $\beta f'=0$ for all $f\in C_c^\infty$, are we able to conclude $\beta=0$?

Published on 29 Jan 2019 - 14:36

score 41 · Answer 7 · 2019-01-31 06:34:50

41

Views

A question about a claim from "Riemannian Geometry" by Petersen

Published on 31 Jan 2019 - 6:34

score 65 · Answer 8 · 2019-02-02 17:16:43

65

Views

If $C\subset\mathbb{R}^n$ is closed, then $C=f^{-1}(0)$ for some smooth $f:\mathbb{R}^n\to\mathbb{R}$.

Published on 02 Feb 2019 - 17:16

score 212 · Answer 9 · 2019-02-03 13:42:25

212

Views

Question about the Definition of Smoothness at a Point

Published on 03 Feb 2019 - 13:42

score 185 · Answer 10 · 2019-02-04 11:12:13

185

Views

Understanding what smoothness means

Published on 04 Feb 2019 - 11:12

score 177 · Answer 11 · 2019-02-06 04:21:23

177

Views

Smoothing a function

Published on 06 Feb 2019 - 4:21

score 58 · Answer 12 · 2019-02-08 13:02:28

58

Views

Confusion on $\vert\vert \varphi\vert\vert_{p}$ where $p \in [1,\infty[$

Published on 08 Feb 2019 - 13:02

score 33 · Answer 13 · 2019-02-10 10:05:16

33

Views

Degree (with regards to smooth manifolds) of a rational function

Published on 10 Feb 2019 - 10:05

score 256 · Answer 14 · 2019-02-13 16:42:42

256

Views

Homotopy between a map and it's antipodal map

Published on 13 Feb 2019 - 16:42

score 15 · Answer 15 · 2019-02-14 22:25:50

If $f:M\times M\to\Bbb R$ is $C^\infty$ and $M$ a compact smooth manifold, is $\bar f(p)=\int_M f(p,q)dq$ smooth?

List Question

Can a smooth map between two embedded submanifolds be (locally) smoothly extended?

Which is the definition of the set of germs $C_p^{\infty}(\mathbb R^n)$? Does $C^{\infty}(U)$ consist of germs or functions?

Is there a missing definition for addition of vector fields?

Complex smooth maps over $(0 , \infty) \times G$.

Is any $C_c^\infty(\mathbb R)$-function the product of two $C_c^\infty(\mathbb R)$-functions?

If $\beta$ is a continuous function with $\beta f'=0$ for all $f\in C_c^\infty$, are we able to conclude $\beta=0$?

A question about a claim from "Riemannian Geometry" by Petersen

If $C\subset\mathbb{R}^n$ is closed, then $C=f^{-1}(0)$ for some smooth $f:\mathbb{R}^n\to\mathbb{R}$.

Question about the Definition of Smoothness at a Point

Understanding what smoothness means

Smoothing a function

Confusion on $\vert\vert \varphi\vert\vert_{p}$ where $p \in [1,\infty[$

Degree (with regards to smooth manifolds) of a rational function

Homotopy between a map and it's antipodal map

If $f:M\times M\to\Bbb R$ is $C^\infty$ and $M$ a compact smooth manifold, is $\bar f(p)=\int_M f(p,q)dq$ smooth?

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