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Does a geodesic locally minimize the curvature?

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#geometry #curvature #geodesic
224
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Find the infimum of $J(\phi) = \int_{\phi}^{} e^x dl$

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#calculus-of-variations #geodesic #euler-lagrange-equation #variational-analysis
159
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Differential of Exponential Map

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#differential-geometry #geodesic
218
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Neccesary and sufficient condition for geodesic curves and they velocity vector to be parallel

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#differential-geometry #curves #surfaces #geodesic
47
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Given this definition of geodesic, does it have constant speed ? $f(r,t)=f(r,s)+f(s,t)$

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#metric-spaces #functional-equations #geodesic #path-connected #metric-geometry
287
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What's the best way to numerically solve geodesic equations?

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#numerical-methods #riemannian-geometry #geodesic #euler-lagrange-equation
237
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Why does the Christoffel symbols in normal coordinate charts vanish only at point $p$, not vanish identically in an open neighborhood of $p$?

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#riemannian-geometry #geodesic
212
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Are minimal area and mean curvature definitions of minimal surfaces really equivalent?

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#analysis #differential-geometry #surfaces #geodesic #minimal-surfaces
189
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Geodesics in hyperboloid model of hyperbolic space

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#differential-geometry #riemannian-geometry #hyperbolic-geometry #geodesic
197
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Geodesic Equations Surface Revolution Confusion

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#differential-geometry #geodesic #submanifold
28
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Jacobi field on polygonal mesh

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#geodesic #discrete-geometry
96
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Why does parallel transport along geodesics solve $\nabla_{r\partial_r}\tau=0$?

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#riemannian-geometry #vector-bundles #geodesic #connections
57
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Definition of covariant derivative and geodesic on surfaces

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#derivatives #differential-geometry #geodesic
51
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Geodesic of quaternion swings vs vector angle

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#quaternions #angle #geodesic
87
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Definition of $\partial_r$ and Gauss Lemma (Petersen's Riemannian Geometry)

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#riemannian-geometry #geodesic

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