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Integrals of Pullbacks

Published on
#integration #differential-topology #closed-form #differential-forms #compact-manifolds
848
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On applying Whitney's extension theorem to suitable closed sets

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#analysis #differential-topology #taylor-expansion #analyticity
859
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How to prove that a left-invariant metric on a Lie group is smooth?

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#differential-topology #lie-groups #riemannian-geometry #smooth-manifolds #smooth-functions
96
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What can be said about the space of vector fields for which a given, say $C^1$, function is a Lyapunov function?

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#reference-request #differential-topology #dynamical-systems #morse-theory
1k
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The fundamental vector fields of a principal bundle are vertical.

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#differential-geometry #differential-topology #lie-groups #lie-algebras #principal-bundles
1.2k
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Lagrange's Equation on a Manifold

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#differential-topology #riemannian-geometry #euler-lagrange-equation
546
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Motivation for the name "vertical subspace" in the context of fiber bundles.

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#differential-geometry #differential-topology #intuition #fiber-bundles #principal-bundles
102
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Why is this map $H^1$?

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#differential-topology #riemannian-geometry
44
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Tilting sine function to get countably infinite nonregular values?

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#differential-geometry #differential-topology
2.1k
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Vanishing of the first Chern class of a complex vector bundle

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#reference-request #differential-topology #vector-bundles #characteristic-classes
182
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Mistake in the definitions of the linking number.

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#general-topology #differential-topology #knot-theory #knot-invariants
327
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resonance in pde

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#differential-geometry #reference-request #partial-differential-equations #differential-topology
258
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(Locally) sym., homogenous spaces and space forms

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#real-analysis #analysis #differential-geometry #manifolds #differential-topology
219
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Integral of generator $H^{2k}(\mathbb CP^k)$ over $\mathbb CP^k$ is 1

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#algebraic-topology #differential-topology #characteristic-classes
541
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Meaning of "locally homeomorphic to $\mathbb{R}^{n}$"

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#differential-geometry #manifolds #differential-topology #riemannian-geometry #coordinate-systems

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