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15
124
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Function defined on the tangent bundle

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#differential-geometry #riemannian-geometry #vector-bundles #vector-fields
102
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Algebraically closedness on a theorem of Hartshorne.

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#algebraic-geometry #vector-bundles
174
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Eheresmann connection and covariant derivative

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#differential-geometry #reference-request #mathematical-physics #vector-bundles #connections
222
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Equivalence between Ehresmann and Koszul definition of linear connection

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#differential-geometry #proof-explanation #mathematical-physics #vector-bundles #connections
569
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On the complexification of a holomorphic bundle $E$

Published on
#complex-geometry #vector-bundles #complex-manifolds
391
Views

Tangent bundle of the connected sum of two smooth manifolds

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#differential-geometry #smooth-manifolds #vector-bundles #characteristic-classes
285
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Hint for proof of proposition 10.15, lines a) and c) in John M. Lee's book "An Introduction to Smooth Manifolds"

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#differential-geometry #manifolds #smooth-manifolds #vector-bundles
113
Views

Conjugating the curvature with a parallel transport operator does not make sense

Published on
#differential-geometry #vector-bundles #holonomy
114
Views

Any complex curve in a complex surface is the zero set of some holomorphic section of a holomorphic line bundle

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#complex-geometry #vector-bundles #complex-manifolds
56
Views

understanding of structure equation

Published on
#differential-geometry #differential-forms #vector-bundles #connections
160
Views

Quasi-coherent sheaf which is a vector bundle on curves.

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#algebraic-geometry #commutative-algebra #vector-bundles #coherent-sheaves #quasicoherent-sheaves
136
Views

Why is the set of all smooth sections of a smooth vector bundle closed under addition?

Published on
#smooth-manifolds #vector-bundles #manifolds-with-boundary
151
Views

Computing cohomology of tautological bundles on Fano threefold

Published on
#algebraic-geometry #homology-cohomology #homological-algebra #vector-bundles #grassmannian
147
Views

Local expression of differential forms of a vector bundle

Published on
#differential-geometry #differential-forms #vector-bundles
867
Views

Show that the kernel of a bundle morphism with constant rank is a sub-bundle.

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#geometry #differential-geometry #manifolds #analytic-geometry #vector-bundles

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