Question

Pullback bundle of the tangent bundle through a diffeomorphism and an application to parallel global sections

score 375 · Answer 1 · 2026-04-12 20:13:32

375

Views

Pullback bundle of the tangent bundle through a diffeomorphism and an application to parallel global sections

Published on 12 Apr 2026 - 20:13

score 103 · Answer 2 · 2026-04-10 23:38:39

103

Views

Connection from a covariant derivative

Published on 10 Apr 2026 - 23:38

score 40 · Answer 3 · 2026-04-15 14:13:05

40

Views

Isometric Immersions: equivalent condition for $R^\perp=0$

Published on 15 Apr 2026 - 14:13

score 181 · Answer 4 · 2026-04-12 10:04:10

181

Views

Is a curve whose derivative has constant length a geodesic?

Published on 12 Apr 2026 - 10:04

score 1.4k · Answer 5 · 2026-05-10 19:21:01

1.4k

Views

Non-flat connection on trivial bundle?

Published on 10 May 2026 - 19:21

score 298 · Answer 6 · 2026-04-11 06:56:52

298

Views

Connection does not depend on entire vector field

Published on 11 Apr 2026 - 6:56

score 874 · Answer 7 · 2026-04-12 07:02:34

874

Views

Relation between Levi-Civita connection and any another metric connection.

Published on 12 Apr 2026 - 7:02

score 128 · Answer 8 · 2026-04-11 07:15:38

128

Views

Question about a proof on Spivak's Comprehensive Introduction to Differential Geometry

Published on 11 Apr 2026 - 7:15

score 251 · Answer 9 · 2026-04-12 06:13:34

251

Views

Geodesics on a Riemannian manifold under non-Levi-Civita connections

Published on 12 Apr 2026 - 6:13

score 98 · Answer 10 · 2026-04-14 14:08:16

98

Views

Show that $[\widetilde{X},\widetilde{Y}]^H=\widetilde{[X,Y]}$ and that $[\widetilde{X},W]$ is vertical if $W$ is vertical.

Published on 14 Apr 2026 - 14:08

score 173 · Answer 11 · 2026-04-16 15:16:29

173

Views

What is the description of the (local) sections of the associated vector bundle of a principal bundle?

Published on 16 Apr 2026 - 15:16

score 84 · Answer 12 · 2026-04-15 16:29:13

84

Views

The value of $\bar{\nabla}_\bar{X}\bar{Y}$ along $M$ doesn't depend on the extension $\bar{Y}$ which we choose for $Y$.

Published on 15 Apr 2026 - 16:29

score 296 · Answer 13 · 2026-05-10 17:39:19

296

Views

Does a connection satisfying $(\nabla_X g)(Y,Z)-(\nabla_Y g)(X,Z)=0$ have a special name or satisfy a special property?

Published on 10 May 2026 - 17:39

score 969 · Answer 14 · 2026-04-12 02:27:02

969

Views

The meaning of "metric preserving" connection.

Published on 12 Apr 2026 - 2:27

score 48 · Answer 15 · 2026-04-30 09:13:57

48

Views

Lift of a bivector

Published on 30 Apr 2026 - 9:13

List Question

Pullback bundle of the tangent bundle through a diffeomorphism and an application to parallel global sections

Connection from a covariant derivative

Isometric Immersions: equivalent condition for $R^\perp=0$

Is a curve whose derivative has constant length a geodesic?

Non-flat connection on trivial bundle?

Connection does not depend on entire vector field

Relation between Levi-Civita connection and any another metric connection.

Question about a proof on Spivak's Comprehensive Introduction to Differential Geometry

Geodesics on a Riemannian manifold under non-Levi-Civita connections

Show that $[\widetilde{X},\widetilde{Y}]^H=\widetilde{[X,Y]}$ and that $[\widetilde{X},W]$ is vertical if $W$ is vertical.

What is the description of the (local) sections of the associated vector bundle of a principal bundle?

The value of $\bar{\nabla}_\bar{X}\bar{Y}$ along $M$ doesn't depend on the extension $\bar{Y}$ which we choose for $Y$.

Does a connection satisfying $(\nabla_X g)(Y,Z)-(\nabla_Y g)(X,Z)=0$ have a special name or satisfy a special property?

The meaning of "metric preserving" connection.

Lift of a bivector

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