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Transform 4th order tensor from Cartesian to convected coordinates

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#differential-geometry #physics #tensors
749
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Are Christoffel symbols structure coefficients?

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#differential-geometry #lie-algebras
428
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Covariant derivative: QFT vs. Math

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#differential-geometry #mathematical-physics #differential-forms #fiber-bundles #quantum-field-theory
229
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Existence of vector bundle isomorphism iff there exists a frame of sections

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#differential-geometry #vector-bundles
258
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A difficulty in understanding the solution of problem 1.7.17 in Guillemin and Pollack.(p.47)

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#differential-geometry #algebraic-topology #differential-topology #geometric-topology #morse-theory
70
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How Can I show this equality with geodesic circles? or give me a hint

Published on
#differential-geometry
86
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Showing product of two transversal maps is a transversal

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#differential-geometry #differential-topology #smooth-manifolds #tangent-bundle
685
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How to understand this example in Do Carmo?

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#general-topology #differential-geometry #riemannian-geometry #curves
276
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How is the differential of a Sobolev function on a manifold regarded as an a.e. defined section of $T^*M$?

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#differential-geometry #differential-topology #sobolev-spaces #smooth-manifolds #weak-derivatives
45
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Normal to a surface

Published on
#differential-geometry #partial-differential-equations
2.2k
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Show that a curve is a geodesic on a surface.

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#differential-geometry #surfaces #geodesic
524
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Uniqueness of horizontal lifts

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#differential-geometry #fiber-bundles #connections
278
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Level sets of Morse functions

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#differential-geometry #differential-topology #morse-theory
71
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Integrating on a Manifold

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#integration #proof-verification #differential-geometry #smooth-manifolds #differential-forms
357
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Approximating the tangent vector in a phase space (or state space) reconstruction

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#differential-geometry #dynamical-systems #vector-bundles #time-series #tangent-spaces

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