List questions from tangent-bundle

Published on 10 Aug 2020 - 17:21

265

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Lagrangian as a function on tangent bundle

Published on 12 Aug 2020 - 0:59

919

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Tangent bundle $TM\to M$ is an orientable bundle iff $M$ is orientable

Published on 14 Aug 2020 - 1:51

84

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Energy as a function on tangent bundle

Published on 21 Aug 2020 - 1:48

1.3k

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Tangent space for embedded submanifold

Published on 25 Aug 2020 - 2:32

48

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A bundle map from a line bundle to $T\mathbb{C}\mathbb{P}^n$ is locally described by a polynomial vector field.

Published on 25 Aug 2020 - 3:07

174

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Ideal of germs of functions vanishing at p

Published on 06 Sep 2020 - 5:23

66

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Why $T_pM$ instead of $TM_p$?

Published on 16 Sep 2020 - 14:25

113

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Trying to trivialize $T_pS^1$ "trivially"

Published on 16 Sep 2020 - 21:43

184

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Proving the map $\Psi: \mathcal{V}_pM\to T_pM$ defined by $\Psi[\gamma] = \gamma'(0)$ is well defined and bijective.

Published on 18 Sep 2020 - 7:56

682

Views

Covariant derivatives are tensors?

Published on 18 Sep 2020 - 23:43

648

Views

Intuition behind Non-Trivial Tangent Bundle

Published on 19 Sep 2020 - 9:00

131

Views

Blow-Up of Quasiprojective Variety and Conormal Space

Published on 19 Sep 2020 - 20:49

41

Views

How do I make sure the inverse function theorem hypotheses are satisfied?

Published on 23 Sep 2020 - 8:59

87

Views

What is wrong with this proof $M\times \mathbb{R}^n$ diffeomorphic to $TM$

Published on 07 Oct 2020 - 11:31

List Question

Question about Unit tangent bundle of embedded submanifold $M$ in $T\mathbb{R}^{m}$

Lagrangian as a function on tangent bundle

Tangent bundle $TM\to M$ is an orientable bundle iff $M$ is orientable

Energy as a function on tangent bundle

Tangent space for embedded submanifold

A bundle map from a line bundle to $T\mathbb{C}\mathbb{P}^n$ is locally described by a polynomial vector field.

Ideal of germs of functions vanishing at p

Why $T_pM$ instead of $TM_p$?

Trying to trivialize $T_pS^1$ "trivially"

Proving the map $\Psi: \mathcal{V}_pM\to T_pM$ defined by $\Psi[\gamma] = \gamma'(0)$ is well defined and bijective.

Covariant derivatives are tensors?

Intuition behind Non-Trivial Tangent Bundle

Blow-Up of Quasiprojective Variety and Conormal Space

How do I make sure the inverse function theorem hypotheses are satisfied?

What is wrong with this proof $M\times \mathbb{R}^n$ diffeomorphic to $TM$

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