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Is there a term for Gaussian curvature based on geodesic curvature?

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#differential-geometry #reference-request #riemannian-geometry #riemann-surfaces #curvature
232
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Scale invariant curvature (plane curve)

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#reference-request #curves #curvature
287
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Formula for the osculating conic of a plane curve

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#calculus #curves #curvature #plane-curves
45
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Equipping finite space with metric

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#metric-spaces #normed-spaces #curvature #lattice-orders
1.8k
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Electric field and curvature

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#differential-geometry #physics #surfaces #vector-fields #curvature
25
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Modify a curvature equation so that it could hold both positive and negative values)

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#differential-geometry #vectors #curvature
148
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What kind of properties characterise "constant curvature" for a general geometry?

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#differential-geometry #riemannian-geometry #curvature #cartan-geometry
416
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Example of "The eigenvalues of data covariance matrix, $\Phi^T\Phi$ measure the curvature of the likelihood function."

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#machine-learning #covariance #curvature #hessian-matrix #log-likelihood
196
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Second fundamental form and normal surface curvature

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#differential-geometry #curvature
293
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Differential geometry and frenet formula

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#calculus #geometry #differential-geometry #curvature #differential
116
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The Four-Vertex Theorem and the existence of curvature

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#differential-geometry #curves #curvature
1.4k
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Non-flat connection on trivial bundle?

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#differential-geometry #vector-bundles #curvature #connections #principal-bundles
532
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Why do the principle curvatures provide the maximum and minimum values of the normal curvature of a curve?

Published on
#geometry #differential-geometry #eigenvalues-eigenvectors #curvature
371
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Confusion in deriving curvature and torsion formulae for general curves

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#differential-geometry #curvature
998
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Visualizing the Lie Bracket in connection with Torsion

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#differential-geometry #smooth-manifolds #curvature #lie-derivative

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