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15
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Minimizing the maximum curvature: a real-life, liquid-filled pipe question

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#geometry #algebra-precalculus #curvature
44
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No Nash-Kuiper theorem for $\mathcal C^2$ isometries

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#differential-geometry #riemannian-geometry #surfaces #riemann-surfaces #curvature
166
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Chern class of a hypersurface in $\mathbb{C}P^3$

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#differential-geometry #complex-geometry #curvature #projective-space #complex-manifolds
38
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Realization of the $2$-form as the curvature of some bundle.

Published on
#vector-bundles #curvature #principal-bundles
143
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Integration of Ricci curvature on a compact manifold.

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#differential-geometry #riemannian-geometry #smooth-manifolds #curvature #connections
67
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Derive formula for conformal curvature

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#differential-geometry #curvature #conformal-geometry
109
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Curvature defined as exterior covariant derivative of connection?

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#differential-geometry #curvature #principal-bundles #exterior-derivative
131
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Curvature of Connection [exercise proofcheck]

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#differential-geometry #vector-bundles #curvature #connections
425
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Calculating scalar curvature of a warped product $I \times N^n(k)$

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#geometry #differential-geometry #manifolds #riemannian-geometry #curvature
48
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Prove that vector tangent to a curve always maintains the same angle, so the ratio between curvature and torsion is constant

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#vector-spaces #curves #curvature
113
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How does curvature relate to angle measurement in hyperbolic geometry?

Published on
#curvature #hyperbolic-geometry #angle #unit-of-measure
109
Views

Torsion on a flat connection (Geometric Intuition).

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#differential-geometry #curvature #connections #tangent-bundle #pullback
381
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Can we think of the Riemann curvature tensor as a tensor-valued 2-form and integrate it over a surface?

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#differential-geometry #differential-forms #curvature #holonomy
117
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Why does a path homotopy between distinct geodesics must pass through a long curve?

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#differential-geometry #riemannian-geometry #curvature #geodesic
132
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Calculation of Riemann Curvature Tensor

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#differential-geometry #riemannian-geometry #curvature

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