Question

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

score 372 · Answer 1 · 2019-03-15 16:30:14

372

Views

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

Published on 15 Mar 2019 - 16:30

score 100 · Answer 2 · 2019-03-16 09:26:37

100

Views

Connection from a covariant derivative

Published on 16 Mar 2019 - 9:26

score 37 · Answer 3 · 2019-03-17 23:17:53

37

Views

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

Published on 17 Mar 2019 - 23:17

score 179 · Answer 4 · 2026-03-25 13:05:11

179

Views

Is a curve whose derivative has constant length a geodesic?

Published on 25 Mar 2026 - 13:05

score 1.4k · Answer 5 · 2026-03-25 05:05:19

1.4k

Views

Non-flat connection on trivial bundle?

Published on 25 Mar 2026 - 5:05

score 295 · Answer 6 · 2019-04-04 00:15:21

295

Views

Connection does not depend on entire vector field

Published on 04 Apr 2019 - 0:15

score 871 · Answer 7 · 2019-04-04 20:00:52

871

Views

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

Published on 04 Apr 2019 - 20:00

score 126 · Answer 8 · 2026-03-25 13:05:01

126

Views

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

Published on 25 Mar 2026 - 13:05

score 249 · Answer 9 · 2026-03-25 13:13:27

249

Views

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

Published on 25 Mar 2026 - 13:13

score 95 · Answer 10 · 2019-04-22 19:47:30

95

Views

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

Published on 22 Apr 2019 - 19:47

score 171 · Answer 11 · 2026-03-25 06:34:58

171

Views

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

Published on 25 Mar 2026 - 6:34

score 81 · Answer 12 · 2019-04-26 19:09:24

81

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 26 Apr 2019 - 19:09

score 293 · Answer 13 · 2026-03-25 11:04:52

293

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 25 Mar 2026 - 11:04

score 966 · Answer 14 · 2019-05-06 08:02:00

966

Views

The meaning of "metric preserving" connection.

Published on 06 May 2019 - 8:02

score 44 · Answer 15 · 2026-03-25 03:01:35

44

Views

Lift of a bivector

Published on 25 Mar 2026 - 3:01

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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