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15
70
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Doubt about splitting principle

Published on
#differential-geometry #differential-topology #vector-bundles #characteristic-classes #pullback
90
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Question about the Euler class

Published on
#algebraic-topology #vector-bundles #fiber-bundles #characteristic-classes #de-rham-cohomology
69
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Reference for "every foliation satisfies a system of PDEs"?

Published on
#differential-geometry #partial-differential-equations #differential-topology #vector-bundles #foliations
79
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The existence of fields of tangent $2$-planes on real projective spaces

Published on
#algebraic-topology #differential-topology #vector-bundles #characteristic-classes
144
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Derivative of a curve on tangent bundle $TQ$ and second-order equations (where is the acceleration?)

Published on
#differential-geometry #vector-bundles #classical-mechanics #euler-lagrange-equation #tangent-bundle
192
Views

Vector Bundle Connection and Agreement a on Curve

Published on
#differential-geometry #vector-bundles #connections
125
Views

ADHM construction: why two bundles of the monad have the same ranks?

Published on
#algebraic-geometry #mathematical-physics #vector-bundles #sheaf-cohomology #twistor-theory
63
Views

Some questions on the proof of Lemma 10.29 in "Introduction to Smooth Manifolds" by John M Lee

Published on
#differential-geometry #smooth-manifolds #vector-bundles
142
Views

Kernel and image of vector bundle morphism over smooth submersion.

Published on
#differential-geometry #smooth-manifolds #vector-bundles
93
Views

equivalence of vector bundle and GL-torsors

Published on
#algebraic-geometry #vector-bundles
122
Views

Exact sequence of smooth vector bundles over a smooth manifold induces a s.e.s. on sheaves of sections

Published on
#differential-geometry #smooth-manifolds #vector-bundles #exact-sequence
93
Views

Dimension of the moduli space of stable vector bundles

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#differential-geometry #algebraic-geometry #vector-bundles #moduli-space
58
Views

Existence of a global frame of a vector bundle $E$ over $\mathrm{S}^2\times \mathbb{R}^4$

Published on
#differential-geometry #vector-bundles #obstruction-theory
167
Views

How is a vector bundle a manifold

Published on
#differential-geometry #manifolds #vector-bundles
139
Views

Foundation of mechanics 2nd edition and vector bundle definitions

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#differential-geometry #differential-topology #smooth-manifolds #vector-bundles

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