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15
281
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Relating two notions of integrable almost complex structure on a complex vector bundle

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#vector-bundles #complex-manifolds #almost-complex
66
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Understanding check for Stiefel-Whitney class of line bundle over $\Bbb R\Bbb P^n$.

Published on
#algebraic-topology #vector-bundles
420
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Isomorphic complex line bundles

Published on
#differential-geometry #differential-topology #vector-bundles
227
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cotangent and tangent space

Published on
#differential-geometry #vector-bundles #hamilton-equations
156
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Smoothness of a vector bundle morphism

Published on
#smooth-manifolds #vector-bundles
883
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A question regarding the vector bundle associated to the frame bundle

Published on
#differential-geometry #manifolds #vector-bundles
150
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The topology on a tangent bundle

Published on
#general-topology #differential-geometry #manifolds #smooth-manifolds #vector-bundles
435
Views

Two definitions of spin structure

Published on
#differential-geometry #vector-bundles #principal-bundles
240
Views

Vector bundle and principal bundle

Published on
#lie-groups #lie-algebras #vector-bundles #fiber-bundles #principal-bundles
1.6k
Views

Does Hodge-star commute with metric connections?

Published on
#differential-geometry #riemannian-geometry #vector-bundles #connections
121
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Maximum value of a vector

Published on
#vector-spaces #vectors #vector-analysis #vector-bundles
416
Views

Proving euler class of trivial bundle is zero

Published on
#algebraic-topology #differential-topology #vector-bundles #characteristic-classes
255
Views

Connection definition for general vector bundles

Published on
#differential-geometry #tensors #vector-bundles #connections
100
Views

$W^{k,p}(M,TM)$ is a Banach space or Banach manifold?

Published on
#manifolds #banach-spaces #smooth-manifolds #vector-bundles
762
Views

Structure group of tangent bundle of Riemannian manifold

Published on
#algebraic-topology #differential-topology #vector-bundles

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