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Koszul connections and connections on vector bundles

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#differential-geometry #riemannian-geometry #vector-bundles #connections
189
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What does it mean that (for example) fiber bundle has $GL_n(\mathbb{R})$ as a structural group?

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#differential-geometry #vector-bundles
1.2k
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Structure of double tangent bundle

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#differential-geometry #smooth-manifolds #vector-bundles
45
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Vector bundle with space of sections Finite projective module

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#ring-theory #vector-bundles #direct-sum #projective-module
563
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Line Bundle with Everywhere Nonzero Section is Trivial

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#general-topology #vector-bundles #line-bundles
175
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Unramified double cover of elliptic curve and vector bundles

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#algebraic-geometry #elliptic-curves #vector-bundles
77
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Continuity of determinant of vector bundle morphism

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#continuity #determinant #vector-bundles #topological-vector-spaces
91
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Examples and references of connections on elliptic curves

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#algebraic-geometry #vector-bundles #connections
197
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Uniqueness of fibre metric in Riemannian Manifold

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#riemannian-geometry #smooth-manifolds #tensors #vector-bundles
165
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Understanding the construction of the Euler class

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#algebraic-topology #differential-forms #vector-bundles
89
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Zariski decomposition and vanishing cohomologies

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#algebraic-geometry #algebraic-topology #homology-cohomology #surfaces #vector-bundles
102
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Non-trivial $C^{k_1}$ vector bundle that is trivial as $C^{k_2}$ fibre bundle

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#vector-bundles #fiber-bundles
278
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Why isn't every vector bundle morphism an isomorphism?

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#algebraic-topology #differential-topology #vector-bundles
45
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Is a conic rationally equivalent to $2L$ for $L$ a line?

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#algebraic-geometry #sheaf-theory #vector-bundles #schemes
742
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$S^2$ Tangent Bundle Stably Trivial?

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#algebraic-topology #vector-bundles #characteristic-classes

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