List questions from tangent-bundle

Published on 27 Jul 2017 - 18:43

106

Views

Distance between points of the geodesic flow tends to $0$.

Published on 28 Jul 2017 - 17:58

110

Views

Can we symmetrize connections on tangent bundles?

Published on 07 Aug 2017 - 21:43

160

Views

Sasaki Metric for Finsler Manifolds

Published on 23 Feb 2026 - 10:04

413

Views

Tangent bundle of the quotient of matrix Lie groups

Published on 27 Aug 2017 - 22:26

93

Views

The action of the group of invertible matrices on vector bundle and equivariance of certain isomorphism

Published on 30 Aug 2017 - 21:21

242

Views

Diffeomorphism invariant metric

Published on 07 Sep 2017 - 15:33

148

Views

Can I always find a smooth bundle map relating two arbitrary smooth vector fields defined on the same smooth manifold?

Published on 08 Sep 2017 - 13:02

42

Views

Integral on manifold with orientation given by vector

Published on 12 Sep 2017 - 10:01

2.7k

Views

Calculating tangent spaces of Lie groups such as $SO(n)$ or $O(n)$

Published on 13 Sep 2017 - 1:35

100

Views

2 definitions of vector fields on $\mathbb R^n$: maps $\mathbb R^n \longrightarrow \mathbb R^n$ and smooth sections of $T\mathbb R^n$

Published on 19 Sep 2017 - 4:54

573

Views

Is every vector bundle a tangent bundle

Published on 29 Sep 2017 - 19:38

76

Views

Does there exist an involutive orthonormal frame on the tangent bundle?

Published on 30 Sep 2017 - 14:41

916

Views

Pulling back (affine or not) connections

Published on 04 Oct 2017 - 23:20

925

Views

Normal bundles and vector bundles

Published on 08 Oct 2017 - 19:33

List Question

Why is the Sasaki metric natural?

Distance between points of the geodesic flow tends to $0$.

Can we symmetrize connections on tangent bundles?

Sasaki Metric for Finsler Manifolds

Tangent bundle of the quotient of matrix Lie groups

The action of the group of invertible matrices on vector bundle and equivariance of certain isomorphism

Diffeomorphism invariant metric

Can I always find a smooth bundle map relating two arbitrary smooth vector fields defined on the same smooth manifold?

Integral on manifold with orientation given by vector

Calculating tangent spaces of Lie groups such as $SO(n)$ or $O(n)$

2 definitions of vector fields on $\mathbb R^n$: maps $\mathbb R^n \longrightarrow \mathbb R^n$ and smooth sections of $T\mathbb R^n$

Is every vector bundle a tangent bundle

Does there exist an involutive orthonormal frame on the tangent bundle?

Pulling back (affine or not) connections

Normal bundles and vector bundles

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