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Surfaces on which not every pair of points is connected by a geodesic

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#geometry #differential-geometry #riemannian-geometry #surfaces #geodesic
4.5k
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Geodesic between two points

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#real-analysis #ordinary-differential-equations #differential-geometry #curves #geodesic
293
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A geodesic metric space is a manifold on its own right. What are conditions for a Finsler space to be a manifold?

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#metric-spaces #manifolds #geodesic
878
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What happens to geodesic curvature under the Gauss map?

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#differential-geometry #surfaces #curvature #geodesic
116
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Comparison Triangle Angles

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#metric-spaces #geodesic
1.6k
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Covariant derivative and geodesic

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#calculus #real-analysis #analysis #differential-geometry #geodesic
20
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questions related to "3D Rotations, Axis-Angle, and Shortest Paths"

Published on
#rotations #geodesic
21
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Given two points p and q on sigma, how many different lines (geodesics) join p and q? Consider the various cases for the positions of p and q.

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#geodesic #noneuclidean-geometry
107
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Do these images both represent disk models of Euclidean geometry?

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#euclidean-geometry #geodesic
341
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Any parametrization of a geodesic is still a geodesic

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#euclidean-geometry #riemannian-geometry #geodesic
233
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A proof of the Nomizu-Ozeki theorem

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#differential-geometry #riemannian-geometry #geodesic
1.3k
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If all geodesics of a connected surface are plane curves, then the surface is contained in a plane or a sphere.

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#differential-geometry #geodesic
183
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Geodesics in Heisenberg's group

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#lie-groups #riemannian-geometry #geodesic #connections
363
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Geodesics in Killing Fields

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#riemannian-geometry #smooth-manifolds #geodesic
166
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Finding the shortest path in 2D Euclidean space with Cartesian coordinates with the Lagrangian

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#calculus #ordinary-differential-equations #geodesic #euler-lagrange-equation

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