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How do we get from here the desired result?

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#differential-geometry #curves #curvature
2.7k
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A curve of constant curvature and zero torsion must be a circle

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#multivariable-calculus #differential-geometry #3d #curves #curvature
171
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Counterexample to the form of Gromov compactness theorem without a Ricci curvature bound

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#riemannian-geometry #curvature
1.2k
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Finding dual forms of a frame field on a sphere

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#differential-geometry #curvature
1.3k
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Show that a developable surface has zero Gaussian curvature.

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#differential-geometry #curvature
186
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Does there exist an isotropic left invariant Riemannian metric on $GL_n^+$?

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#lie-groups #riemannian-geometry #curvature #symmetry
1.1k
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Curvature on product Riemannian manifolds

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#differential-geometry #manifolds #riemannian-geometry #curvature
182
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Compact Einstein manifolds with $\operatorname{Ric}(g)=\lambda g$ with $\lambda<0$ and sectional curvatures $\geq0$

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#differential-geometry #riemannian-geometry #smooth-manifolds #curvature
4.2k
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How could we calculate the signed curvature?

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#differential-geometry #curves #curvature
143
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Relation between curvature and sectional curvature

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#differential-geometry #riemannian-geometry #curvature #connections
2.1k
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Is a Riemannian manifold with isometric coordinate charts flat?

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#differential-geometry #riemannian-geometry #curvature
60
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Can the scalar curvature remain locally constant under the action of the Ricci flow?

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#differential-geometry #curvature #ricci-flow
1.1k
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Curvature measure for polygones on a 2D space

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#geometry #curvature #polygons
377
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Ricci curvature with positive lower bound...

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#differential-geometry #smooth-manifolds #curvature
89
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Do torsion and curvature have higher order analogues?

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#differential-geometry #riemannian-geometry #curvature

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