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What is the minimal length of a "Diagonal" in a Torus?

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#riemannian-geometry #fundamental-groups #geodesic
80
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Example of compact manifold with bdd such that there exists geodesic whose first time of hitting boundary is different form exit time of geodesic,

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#differential-geometry #riemannian-geometry #examples-counterexamples #geodesic
52
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Geodesic identity map: why do these conditions ensure the geodesic map becomes identity?

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#differential-geometry #geodesic
167
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Properties of pseudospherical circles and geodesics

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#differential-geometry #hyperbolic-geometry #geodesic #noneuclidean-geometry
20
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Give a reference of a text,pdf,anything , where geodesic passing by a certain point is calculated.

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#differential-geometry #reference-request #geodesic
413
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Gauss Bonnet Theorem for half a cone

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#differential-geometry #riemannian-geometry #surfaces #geodesic
1.2k
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St. Basil's cathedral, Moscow steeple shape

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#differential-geometry #soft-question #applications #geodesic #art
334
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When can the trajectories of a vector field be realized as geodesics?

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#riemannian-geometry #smooth-manifolds #vector-fields #geodesic
55
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Geodesics in a connected surface S parametrized by arc length with constant binormal vector implies that S are open of planes and spheres?

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#geometry #differential-geometry #geodesic
146
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Closed intersecting geodesics on surface of genus two

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#riemannian-geometry #surfaces #hyperbolic-geometry #curvature #geodesic
83
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Book analysis on metric spaces and geodesics.

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#reference-request #metric-spaces #geodesic #absolute-continuity
73
Views

Finding the geodesic curvature

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#riemannian-geometry #curvature #geodesic
68
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equivalent function to minimize the length in curved space

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#geometry #differential-geometry #metric-spaces #physics #geodesic
127
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Closed non-intersecting geodesics on a compact hyperbolic surface are finite

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#riemannian-geometry #surfaces #hyperbolic-geometry #geodesic
81
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If any two triangles of equal area can be mapped via affine maps, what can we say about the geometry?

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#differential-geometry #riemannian-geometry #symmetry #affine-geometry #geodesic

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