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Möbius strip and $\mathscr O(-1)$. Or $\mathscr O(1)$?

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#algebraic-geometry #schemes #vector-bundles
615
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Almost A Vector Bundle

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#differential-geometry #examples-counterexamples #vector-bundles
848
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When does the normal vector of a Moebius-strip intersect?

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#differential-geometry #vector-bundles
1.4k
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Extending a Set of Linearly Independent Vector Fields to a Basis

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#differential-geometry #manifolds #vector-bundles
585
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Which (endo)functors of the category of finite-dimensional real vector spaces induce continuous maps between Hom-sets?

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#linear-algebra #category-theory #topological-vector-spaces #vector-bundles
3.6k
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How to define a connection on the dual bundle?

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#differential-geometry #vector-bundles #connections
95
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Isomorphy of vector bundles over a variety $X$

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#algebraic-geometry #vector-bundles
560
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Lines on a cubic surface in $\mathbb{P}^3$ using Chern classes

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#algebraic-geometry #vector-bundles
67
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What is a Fourier decomposition of the index of an operator?

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#differential-geometry #operator-theory #vector-bundles
2.2k
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Pull-back of sections of vector bundles

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#algebraic-geometry #vector-bundles
532
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Second order equations on manifolds

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#ordinary-differential-equations #manifolds #vector-bundles
238
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Complex vector bundles with real transition functions

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#differential-geometry #vector-bundles
792
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Existence of a square root of a given line bundle via Chern class?

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#vector-bundles #characteristic-classes
2k
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Triviality/non-triviality of line/circle bundle over $S^3$

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#vector-bundles #fiber-bundles
216
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Open sets of the tangent bundle in a Riemannian manifold

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#manifolds #riemannian-geometry #vector-bundles

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