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15
519
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Realizing every rotation of a tangent space on a sphere as a parallel transport

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#differential-geometry #surfaces #rotations #geodesic #tangent-spaces
274
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Show γ(t) = (a cos(t), a sin(t), t) is a geodesic of the cylinder .

Published on
#geometry #geodesic
778
Views

Example of the Manifold with a Non-Surjective Exponential Map at a Point

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#differential-geometry #riemannian-geometry #examples-counterexamples #geodesic
162
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Complete Riemannian manifolds and lengths of curves diverging to infinity

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#differential-geometry #riemannian-geometry #geodesic
442
Views

Existence of conjugate points along geodesics on a complete surface with curvature bounded below

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#differential-geometry #surfaces #geodesic
251
Views

Triangle Inequality on geodesic surfaces

Published on
#geometry #geodesic
179
Views

Vertical curve in a Riemannian warped product is a geodesic

Published on
#differential-geometry #riemannian-geometry #curves #geodesic #connections
597
Views

Gaussian curvature and geodesic disc

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#geometry #differential-geometry #surfaces #curvature #geodesic
275
Views

Prove that curves are geodesics

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#differential-geometry #geodesic
91
Views

Understanding of differential of a curve as a vector field

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#differential-geometry #riemannian-geometry #curves #vector-fields #geodesic
224
Views

Reparametrised curve is geodesic

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#differential-geometry #riemannian-geometry #curves #geodesic #connections
96
Views

Ellipsoids as surfaces of revolution and their geodesics

Published on
#geometry #differential-geometry #riemann-surfaces #geodesic
631
Views

Geodesics of Helicoid

Published on
#differential-geometry #geodesic
362
Views

Geodesics on the helicoid

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#geometry #differential-geometry #surfaces #geodesic
1.2k
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Tangent vector to a geodesic

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#differential-geometry #geodesic #semi-riemannian-geometry #tangent-spaces

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