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Metrics on Complex Vector Bundles & Structure Groups

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#differential-geometry #lie-groups #lie-algebras #complex-geometry #vector-bundles
1.3k
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Representation of fundamental group and flat bundle

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#representation-theory #vector-bundles #fundamental-groups #connections
221
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Fiber bundle over torus

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#algebraic-topology #lie-groups #vector-bundles #topological-groups #fiber-bundles
287
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Derivative of vector field on a surface

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#differential-geometry #surfaces #vector-bundles #vector-fields #tangent-bundle
100
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Constructing a connection from local data

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#differential-geometry #vector-bundles #connections
481
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Does every connection admit a parallel volume form?

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#differential-geometry #vector-bundles #exterior-algebra #connections
148
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Free module after tensoring with a flat local ring

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#algebraic-geometry #commutative-algebra #vector-bundles #quasicoherent-sheaves
1.4k
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Christoffel Symbols for a Parametrized Surface

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#differential-geometry #riemannian-geometry #surfaces #vector-bundles #curvature
189
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Connections from partitions of unity

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#differential-geometry #vector-bundles #connections
201
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Homomorphism of vector bundle with connection

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#differential-geometry #vector-bundles #connections
192
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Understanding the Holomorphic Tangent Bundle to $\mathbb{CP}^n$.

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#differential-geometry #complex-geometry #vector-bundles
376
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What is a "formal" difference of vector bundles?

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#algebraic-topology #vector-bundles #topological-k-theory
1k
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About the definition of Ehresmann connection

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#differential-geometry #vector-bundles #connections
56
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First obstacle to triviality is orientability

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#vector-bundles #characteristic-classes #orientation
69
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flat connection iff intergable distribution

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#differential-geometry #vector-bundles #connections

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