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15
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Stokes theorem implies that $\partial^2=0$?

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#differential-forms #stokes-theorem
906
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Identity for Hodge star on product manifold

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#differential-geometry #riemannian-geometry #differential-forms
43
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Integral on manifold with orientation given by vector

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#multivariable-calculus #differential-forms #tangent-bundle
378
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Realize $SU(3)$ as a subgroup of $SO(6)$ (or $SO(7)$) in a surprising way

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#lie-groups #differential-forms #holonomy
173
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Riemann's bilinear relation 2. Why is the sum of residues non-zero?

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#complex-analysis #differential-forms #riemann-surfaces
180
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Are there higher-order vector fields (analogously to higher-order differential forms)?

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#calculus #differential-geometry #vector-analysis #differential-forms #vector-bundles
849
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The Euler class on a vector bundle and local degree

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#algebraic-topology #differential-forms #fiber-bundles
61
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Can we choose the anti exterior derivative in a way that respect the behaviour on the boundary?

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#differential-geometry #differential-topology #smooth-manifolds #differential-forms #manifolds-with-boundary
64
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Obstructions to existence of a boundary respecting family of primitive exterior derivatives

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#differential-geometry #differential-topology #smooth-manifolds #differential-forms #manifolds-with-boundary
1k
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Understanding the derivation of this form of the coderivative

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#riemannian-geometry #differential-forms #vector-bundles #exterior-algebra #connections
828
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Computation of exterior derivative of an $(n-1)$ form

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#differential-geometry #riemannian-geometry #differential-forms #semi-riemannian-geometry #hodge-theory
67
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Why does $F(x,y,z)= \text{constant}$ imply that the total differentials $dx,dy,dz$ exist?

Published on
#differential-forms #differential
362
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Derivative of the metric components - Christoffel symbols

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#differential-geometry #riemannian-geometry #differential-forms
978
Views

Understanding differential forms

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#real-analysis #differential-forms
70
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Verifying two definitions of exterior product are compatible.

Published on
#definition #differential-forms #exterior-algebra

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