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15
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Proving that a vector field along a curve is smooth iff its coefficient functions are smooth.

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#differential-geometry #differential-topology #vector-bundles #vector-fields
519
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Complexified tangent bundle

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#differential-geometry #smooth-manifolds #complex-geometry #vector-bundles #almost-complex
47
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Integrable SL(n)-structures

Published on
#vector-bundles #fiber-bundles #principal-bundles
53
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Simple example of isotypical bundles without bundle maps between them?

Published on
#general-topology #vector-bundles #fiber-bundles #principal-bundles
379
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Bundle map inducing isomorphism on fibers - when is it an isomorphism?

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#general-topology #algebraic-topology #vector-bundles #fiber-bundles
300
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Examples of tangent vectors (or vector fields) with values in a vector space (or vector bundle)

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#differential-geometry #smooth-manifolds #vector-bundles
1.2k
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Derivative of unit normal vector is tangential

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#differential-geometry #vector-bundles #tangent-bundle
249
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Trying to understand vector bundles on manifolds via locally free sheaves

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#manifolds #sheaf-theory #vector-bundles #quasicoherent-sheaves #ringed-spaces
248
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Holomorphic line bundles are algebraic on compact Riemann surfaces

Published on
#algebraic-curves #sheaf-theory #vector-bundles #riemann-surfaces
66
Views

Calculus of variations when target space has boundary

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#differential-geometry #riemannian-geometry #calculus-of-variations #vector-bundles #manifolds-with-boundary
890
Views

Restriction of Line Bundles on Surfaces

Published on
#algebraic-geometry #sheaf-theory #vector-bundles #divisors-algebraic-geometry
916
Views

Product of vector bundles.

Published on
#differential-geometry #terminology #vector-bundles #poisson-geometry
687
Views

Difference between Higgs bundle and vector bundle with connection

Published on
#differential-geometry #algebraic-geometry #vector-bundles
1.2k
Views

Tautological Bundle yields Twisted Sheaf as Line Bundle

Published on
#algebraic-geometry #sheaf-theory #vector-bundles
157
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Computing Explicitly the Atiyah Bundle on an Elliptic Curve

Published on
#algebraic-geometry #complex-geometry #sheaf-theory #vector-bundles

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