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15
335
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A continuously differentiable isometry is smooth?

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#metric-spaces #riemannian-geometry #smooth-manifolds #metric-geometry
182
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Definition of uniformly bounded lengths of curves

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#metric-geometry
71
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Example with ${\rm vol}\ D>\lim_i\ {\rm vol}\ D_i$

Published on
#metric-geometry #hausdorff-measure
63
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Determining the number of vertices, edges and faces of rectified polyhedra

Published on
#geometry #metric-geometry
223
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The space of all tangent cones of $Y$ at $p$ is path connected in Gromov-Hausdorff topology

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#riemannian-geometry #metric-geometry #gromov-hausdorff-limit
597
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Isometric immersions between manifolds with boundary are locally distance preserving?

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#riemannian-geometry #isometry #metric-geometry #manifolds-with-boundary
561
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Is every flat manifold with boundary locally isometric to the Euclidean half-space?

Published on
#riemannian-geometry #geodesic #isometry #metric-geometry #manifolds-with-boundary
232
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Opposite of Levi-Civita

Published on
#differential-geometry #riemannian-geometry #fiber-bundles #connections #metric-geometry
215
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A short map is an isometry when restricted to a suitable subset

Published on
#metric-spaces #compactness #lipschitz-functions #isometry #metric-geometry
178
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Conjugate point in some open solid torus

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#riemannian-geometry #metric-geometry
128
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What is the relationship between the parallel postulate and geodesic completeness?

Published on
#geometry #reference-request #euclidean-geometry #riemannian-geometry #metric-geometry
772
Views

What is the definition of "rotation" in a general metric space? (Or a Finsler manifold?)

Published on
#geometry #reference-request #terminology #definition #metric-geometry
430
Views

How to generalize parallelograms to non-Euclidean spaces?

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#geometry #reference-request #euclidean-geometry #riemannian-geometry #metric-geometry
176
Views

Do any of these concepts relating to similarity in general metric spaces have names?

Published on
#geometry #reference-request #terminology #metric-geometry
129
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Ultralimit of compact metric spaces

Published on
#metric-spaces #filters #metric-geometry

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