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Endomorphism vector bundle isomorphic to the adjoint bundle of its frame bundle?

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#differential-topology #lie-groups #lie-algebras #vector-bundles
488
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Splitness of quotient sequence

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#abstract-algebra #homological-algebra #vector-bundles #exact-sequence
300
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Normal vector field for an immersion

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#differential-geometry #smooth-manifolds #vector-bundles #vector-fields #orientation
478
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Two definitions of the first Chern class

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#differential-geometry #algebraic-topology #vector-bundles #connections
362
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Isomorphic modules of sections imply isomorphic bundles

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#general-topology #differential-topology #vector-bundles
254
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Fundamental class for tangent bundle

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#algebraic-topology #manifolds #differential-topology #vector-bundles
402
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Showing that Killing vector fields form a vector space without introducing connection

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#differential-geometry #smooth-manifolds #vector-bundles #lie-derivative
220
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Cylinder as trivial fiber bundle with fiber $S^1$?

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#general-topology #algebraic-topology #vector-bundles #fiber-bundles
680
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Is a bundle morphism which restricts to homeomorphisms of the fibers a bundle isomorphism?

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#differential-geometry #vector-bundles #fiber-bundles
344
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Understanding algebraic operations on vector bundles

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#differential-geometry #differential-topology #smooth-manifolds #vector-bundles
63
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$E$-orientation of a closed manifold induce $E$-orientation of normal bundle: passage in the proof.

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#algebraic-topology #vector-bundles
504
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Kernel of $\omega^\#$ is $k$-dimensional

Published on
#differential-forms #vector-bundles #symplectic-geometry #symplectic-linear-algebra
405
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Definition of isomorphism classes of vector bundles with reduced structure group

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#vector-bundles #principal-bundles #fibration
157
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Proving that every tangent bundle is direct summand of a trivial bundle.

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#differential-topology #vector-bundles #h-principle
2.7k
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Why does a tangent bundle have dimension 2n instead of n?

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#differential-topology #vector-bundles #fiber-bundles

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