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15
156
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Can a smooth manifold be embedded into its tangent bundle?

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#differential-geometry #smooth-manifolds #submanifold #tangent-bundle
78
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Does a twisted tangent bundle $T\mathbb P^n \otimes \mathcal O(d-1)$ ever have a globally nonvanishing section?

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#vector-bundles #characteristic-classes #tangent-bundle #algebraic-vector-bundles
53
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How is acceleration connected to the second order tangent bundle?

Published on
#riemannian-geometry #connections #tangent-bundle
68
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What type of quantity is absement?

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#differential-geometry #tangent-bundle #co-tangent-space
168
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For Hirzebruch Surfaces, does the tangent exact sequence split?

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#algebraic-geometry #exact-sequence #tangent-bundle #toric-varieties
80
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Why is the frame bundle of $S^1$ homeomorphic to $S^1$?

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#manifolds #tangent-bundle #spin-geometry
142
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Are tangent spaces at different points disjoint according to this definition?

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#differential-geometry #definition #smooth-manifolds #tangent-spaces #tangent-bundle
117
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Do tensors in the tangent space act on functions and vectors?

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#derivatives #differential-geometry #lie-algebras #tangent-spaces #tangent-bundle
129
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Differential of a smooth map in terms of sheaves of deriviations

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#algebraic-geometry #smooth-manifolds #sheaf-theory #vector-bundles #tangent-bundle
73
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Holomorphic tangent bundle over $\mathbb{C}P^1$

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#complex-geometry #vector-bundles #projective-space #tangent-bundle
219
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Why are the tangent spaces $T_pM$ and $T_qM$ disjoint for $p \neq q$?

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#differential-geometry #smooth-manifolds #tangent-spaces #tangent-bundle
131
Views

Homology groups of Klein bottle's unit tangent bundle.

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#homology-cohomology #tangent-bundle #klein-bottle
173
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Motivating the standard cotangent bundle Lie group structure

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#differential-geometry #lie-groups #tangent-bundle #co-tangent-space
155
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What is the universal property of the thickening $Y[\varepsilon]$?

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#algebraic-geometry #category-theory #tangent-bundle #quasicoherent-sheaves
248
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Natural coordinates on tangent bundle

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#differential-geometry #manifolds #smooth-manifolds #tangent-bundle

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