Question

If $\gamma : J \to M$ is a curve on manifold $M$ of dim $n$, then $\gamma$ is an immersion iff $\gamma'(t) \neq 0 \forall t \in J$.

score 50 · Answer 1 · 2026-04-16 07:01:03

50

Views

If $\gamma : J \to M$ is a curve on manifold $M$ of dim $n$, then $\gamma$ is an immersion iff $\gamma'(t) \neq 0 \forall t \in J$.

Published on 16 Apr 2026 - 7:01

score 200 · Answer 2 · 2026-04-16 11:02:22

200

Views

Frenet frame of a curve on the surface of a torus

Published on 16 Apr 2026 - 11:02

score 481 · Answer 3 · 2026-04-12 04:52:25

481

Views

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

Published on 12 Apr 2026 - 4:52

score 548 · Answer 4 · 2026-04-19 16:24:32

548

Views

Understanding k- jets

Published on 19 Apr 2026 - 16:24

score 124 · Answer 5 · 2026-04-10 08:10:00

124

Views

Transformation of boundary integral

Published on 10 Apr 2026 - 8:10

score 58 · Answer 6 · 2026-04-13 14:19:42

58

Views

Difference between coordinate map and standard coordinates?

Published on 13 Apr 2026 - 14:19

score 82 · Answer 7 · 2026-04-14 19:14:26

82

Views

If $\exp(X) \in G$, and $X$ is Hermitian, do we have $X \in \mathfrak g$?

Published on 14 Apr 2026 - 19:14

score 245 · Answer 8 · 2026-04-17 16:19:26

245

Views

Kähler Potential on Blowup of $\mathbb{C}/\{\pm 1\}$

Published on 17 Apr 2026 - 16:19

score 383 · Answer 9 · 2026-04-14 18:26:22

383

Views

Differential map of velocity vector

Published on 14 Apr 2026 - 18:26

score 58 · Answer 10 · 2026-04-12 02:26:05

58

Views

The expression of points near a critical point

Published on 12 Apr 2026 - 2:26

score 517 · Answer 11 · 2026-04-25 14:01:56

517

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 25 Apr 2026 - 14:01

score 140 · Answer 12 · 2026-04-11 19:27:11

140

Views

Is there a missing definition for addition of vector fields?

Published on 11 Apr 2026 - 19:27

score 948 · Answer 13 · 2026-04-15 01:15:20

948

Views

Why is the $C^\infty(M)$-module of smooth sections of a vector bundle $E$ not free?

Published on 15 Apr 2026 - 1:15

score 326 · Answer 14 · 2026-04-16 00:40:57

326

Views

Under exponential map in a Riemannian manifold, what radius keeps the image of a ball a geodesic space?

Published on 16 Apr 2026 - 0:40

score 392 · Answer 15 · 2026-04-12 08:03:30

392

Views

Mobius strip with constant negative curvature

Published on 12 Apr 2026 - 8:03

List Question

If $\gamma : J \to M$ is a curve on manifold $M$ of dim $n$, then $\gamma$ is an immersion iff $\gamma'(t) \neq 0 \forall t \in J$.

Frenet frame of a curve on the surface of a torus

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

Understanding k- jets

Transformation of boundary integral

Difference between coordinate map and standard coordinates?

If $\exp(X) \in G$, and $X$ is Hermitian, do we have $X \in \mathfrak g$?

Kähler Potential on Blowup of $\mathbb{C}/\{\pm 1\}$

Differential map of velocity vector

The expression of points near a critical point

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?

Why is the $C^\infty(M)$-module of smooth sections of a vector bundle $E$ not free?

Under exponential map in a Riemannian manifold, what radius keeps the image of a ball a geodesic space?

Mobius strip with constant negative curvature

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