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15
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normal bundle over a smooth submanifold

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#differential-geometry #smooth-manifolds #vector-bundles
946
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Riemannian metrics on vector bundles according to Jeffrey. M. Lee's book

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#differential-geometry #riemannian-geometry #vector-bundles
480
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Fibred product of a (vector bundle) set with itself

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#riemannian-geometry #vector-bundles #fibre-product
611
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Write two vector bundles of $S^1$, not diffeomorphic between them

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#vector-bundles #mobius-band #tangent-bundle
126
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Involutive subbundles

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#differential-geometry #smooth-manifolds #vector-bundles
252
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How prove that $Y$ is a smooth vector field on $S^2$

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#smooth-manifolds #vector-bundles #vector-fields #spheres
166
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Vector bundle determined by differential structures?

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#differential-geometry #manifolds #smooth-manifolds #vector-bundles
342
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$(X_1,X_2,X_3)$ is a global frame on $S^3$

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#differential-geometry #vector-bundles #vector-fields #spheres
43
Views

$F_{*p}$ in local coordinates

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#differential-geometry #proof-verification #smooth-manifolds #vector-bundles
578
Views

Exterior covariant derivative and Lie derivative in Penrose abstract index notation?

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#differential-geometry #tensors #vector-bundles
895
Views

How do you formulate the linearity condition for a covariant derivative on a vector bundle in terms of parallel transport?

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#differential-geometry #vector-bundles #fiber-bundles #connections
186
Views

Question about Pontryagin numbers and cohomology sequence of a pair.

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#algebraic-topology #vector-bundles #characteristic-classes
152
Views

Determinant bundle of subvector bundle provides subline bundle

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#algebraic-geometry #sheaf-theory #vector-bundles #projective-space
306
Views

Every oriented vector bundle admits an orientation reversing isomorphism?

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#differential-geometry #algebraic-topology #differential-topology #vector-bundles #orientation
135
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Vanishing cohomologies for curve in surface

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#algebraic-geometry #complex-geometry #vector-bundles #sheaf-cohomology

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