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15
31
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How do we draw the resultant of two unequal vectors at $0$ degrees and $180$ degrees?

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#vector-spaces #eigenvalues-eigenvectors #vectors #vector-analysis #vector-bundles
533
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Why projection map $π: E\longrightarrow M$ in a vector bundle is a homotopy equivalence.

Published on
#differential-geometry #homotopy-theory #vector-bundles
122
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Verifying a given cohomology class is the Stiefel-Whitney class

Published on
#differential-topology #vector-bundles #fiber-bundles #characteristic-classes
156
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Is this the correct definition of a local trivialization?

Published on
#general-topology #algebraic-topology #definition #vector-bundles #fiber-bundles
102
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Constructing a smooth maximal atlas

Published on
#differential-geometry #reference-request #manifolds #smooth-manifolds #vector-bundles
41
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Definition of the twisted covariant derivative

Published on
#vector-bundles
464
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Total space of $\mathscr{O}(1)$

Published on
#complex-analysis #algebraic-geometry #complex-geometry #vector-bundles #complex-manifolds
122
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Different Hermitian metrics on a complex vector bundle define isomorphic unitary frame bundles

Published on
#differential-geometry #vector-bundles #hermitian-matrices
54
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The proof of $\Omega^k_G(P;V)\cong \Omega^k(M;P\times_G V)$.

Published on
#reference-request #differential-forms #vector-bundles
106
Views

Trouble understanding the derivative of a Lie Group representation along a curve.

Published on
#differential-geometry #manifolds #lie-groups #vector-bundles
136
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Decision problem for a bundle in a line bundle extension of $\dim Ext^1=1$.

Published on
#algebraic-geometry #algebraic-topology #vector-bundles #holomorphic-bundles
59
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The $C^\infty(M)$-linearity of the curvature implies that it is defined pointwise

Published on
#differential-geometry #vector-bundles #curvature
198
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Smooth vector bundles over contractible smooth manifolds with or without boundary

Published on
#differential-geometry #smooth-manifolds #vector-bundles #manifolds-with-boundary
70
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Vector Fields and Line Fields on Manifolds

Published on
#differential-geometry #manifolds #vector-bundles #vector-fields #tangent-spaces
372
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Line subbundles of tangent bundle of a manifold is trivial?

Published on
#manifolds #smooth-manifolds #vector-bundles #vector-fields #line-bundles

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