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15
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Show that the chain rule $(G\circ F)_* = G_* \circ F_*$ holds.

Published on
#abstract-algebra #chain-rule #pushforward
227
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Inverse function theorem and tangent space differentials

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#linear-algebra #linear-transformations #smooth-manifolds #vector-space-isomorphism #pushforward
300
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Proving a Covariant Derivative is Torsion Free

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#differential-geometry #manifolds #connections #pullback #pushforward
392
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Confusion about pushforwards of Lie Brackets

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#differential-geometry #smooth-manifolds #pushforward
119
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Is $\phi_*X\in\mathfrak{X}(H)$ left invariant if $X\in\mathfrak{X}(G)$ is left invariant and $\phi\colon G\to H$ is a Lie group homomorphism?

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#lie-groups #lie-algebras #smooth-manifolds #group-homomorphism #pushforward
209
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How to perform a push forward change of measure.

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#real-analysis #integration #measure-theory #change-of-variable #pushforward
366
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Composition of pushforwards

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#differential-geometry #pullback #pushforward
165
Views

Differential of a smooth covering map is always invertible?

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#smooth-manifolds #covering-spaces #tangent-spaces #pushforward
160
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John M. Lee's Introduction to smooth manifolds: push forward in local coordinates

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#differential-geometry #smooth-manifolds #pushforward
110
Views

Calculating a certain pushforward of a vector field

Published on
#differential-geometry #vector-fields #pushforward
69
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$f(x)=\|x\|_2$, $f_{\#}\mu=f_{\#}\nu\implies\mu=\nu$

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#measure-theory #pushforward
101
Views

Doubt about pushforwards

Published on
#differential-geometry #manifolds #smooth-manifolds #smooth-functions #pushforward
52
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Calculate $F_*{\frac{\partial}{\partial x}}$.

Published on
#differential-geometry #solution-verification #smooth-manifolds #pushforward
130
Views

Proving an identity involving pushforward

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#differential-geometry #complex-geometry #projective-space #pushforward
125
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Chern class of reflexive extension of sheaf

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#algebraic-geometry #intersection-theory #pushforward

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