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15
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Is the Grassmannian a Fiber Bundle?

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#differential-geometry #fiber-bundles #grassmannian
89
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Chern and Pontryagin classes of manifold constructed as compactification of vector bundle

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#algebraic-geometry #complex-geometry #fiber-bundles #characteristic-classes
128
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Horizontal lift and notation in differential geometry

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#differential-geometry #fiber-bundles
72
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Irreducible connection on a surface

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#fiber-bundles #connections
56
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Integral sections of higher order jet fields

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#differential-geometry #partial-differential-equations #fiber-bundles #jet-bundles
34
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If $H$ is a closed subgroup of a Lie Group $G$, and $p:P\to B$ a principal G-bundle. How to show that $q:P\to P/H$ is a principal $H$-bundle?

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#algebraic-topology #fiber-bundles
136
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A tricky question on $O(2)$ bundles over surfaces

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#algebraic-topology #differential-topology #fiber-bundles #principal-bundles
79
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Proposition 1.1.14 D.J Saunders on Bundle

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#differential-geometry #smooth-manifolds #fiber-bundles #jet-bundles
56
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Horizontal lift of Lie group action on total space of fiber bundle

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#differential-geometry #lie-groups #fiber-bundles #connections #principal-bundles
26
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What is the smooth structure on the Frame Bundle?

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#differential-geometry #smooth-manifolds #vector-bundles #fiber-bundles
104
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Notation in the local form of a covariant derivative

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#differential-geometry #notation #vector-bundles #fiber-bundles #principal-bundles
272
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Is there any relation between an Ehresmann connection/connection 1-form and an affine connection?

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#differential-geometry #fiber-bundles #connections #principal-bundles
55
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Why fiber bundles are locally products

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#differential-geometry #vector-bundles #fiber-bundles #tangent-bundle #co-tangent-space
21
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Orthogonal bundles with values in a line bundle vs. reductions of structure group to $O(n)$

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#vector-bundles #fiber-bundles #principal-bundles
58
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Existence of fiberwise symplectic form on symplectic fibration

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#smooth-manifolds #symplectic-geometry #fiber-bundles

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