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rank and degree of vector bundle after push-forward or pull-back

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#algebraic-geometry #vector-bundles #pullback #pushforward
56
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Pullback calculations

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#smooth-manifolds #differential-forms #pullback
21
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Can there be nonisomorphic pullbacks corresponding to different induced isomorphisms?

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#category-theory #pullback
146
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Why trace is natural than (preferred to) determinant for smooth map $f:M\to N$?

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#linear-algebra #differential-geometry #differential-topology #riemannian-geometry #pullback
116
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A question about pullback of a smooth form.

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#smooth-manifolds #pullback #exterior-derivative
288
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2 -form invariant under the flow of a vector field

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#differential-geometry #differential-forms #vector-fields #pullback
823
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Pullback of a vector field under a surjective submersion.

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#differential-geometry #vector-fields #pullback
116
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Doubt showing commutativity of Pushforward and Lie Bracket

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#differential-geometry #manifolds #vector-fields #pullback #pushforward
115
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how to calculate the induced metric

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#pullback
165
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pullback of (r,s)-tensor fields

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#differential-geometry #smooth-manifolds #pullback
582
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Pullback of an $n$-form by the inclusion map.

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#differential-geometry #differential-forms #pullback
154
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Suggestion for mistake on computation of a pull-back $2$-form on the sphere

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#manifolds #pullback
412
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Integration of $2$-form on the sphere using the stereographic projection

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#integration #differential-forms #pullback
296
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Proving a Covariant Derivative is Torsion Free

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#differential-geometry #manifolds #connections #pullback #pushforward
364
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Pullback of a function

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#differential-geometry #pullback

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