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15
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The derivation of geodesic lines on a Riemann surface

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#differential-geometry #riemannian-geometry #riemann-surfaces #geodesic
83
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Differential of the exponential map

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#differential-geometry #riemannian-geometry
187
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A contradiction to a proof by Chern & Lashof?

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#differential-geometry #differential-topology #riemannian-geometry #smooth-manifolds
917
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distance function on Riemannian manifold $F(x) := dist(x,x^0)$ is geodesic convex?

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#riemannian-geometry #convex-optimization #smooth-manifolds #geodesic
59
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Area derivative under curve shortening flow of surfaces

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#riemannian-geometry #curves #mean-curvature-flows
154
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Do Riemannian manifolds have to be smooth to define a metric or can it be relaxed to differentiable, or even simply just a path-connected set?

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#manifolds #riemannian-geometry #smooth-manifolds
415
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If a curve $c$ can be reparametrized by arc length, then is $c$ regular?

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#general-topology #differential-geometry #manifolds #differential-topology #riemannian-geometry
390
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Gauss-Weingarten relations on an arbitrary Riemannian manifold

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#differential-geometry #solution-verification #proof-explanation #riemannian-geometry #mean-curvature-flows
62
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Why is $\langle N, \nabla_X a\rangle = \langle N,X \rangle$

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#riemannian-geometry #semi-riemannian-geometry
284
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Existence of a spin structure in Kaehlerian manifolds

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#differential-geometry #riemannian-geometry #kahler-manifolds #spin-geometry
293
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How are images of smooth regular curves "smooth"?

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#general-topology #multivariable-calculus #differential-geometry #differential-topology #riemannian-geometry
417
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The hyperbolic metric on the punctured disk induced by a covering by the upper plane

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#proof-verification #riemannian-geometry #riemann-surfaces #hyperbolic-geometry
563
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Simons' identity

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#proof-explanation #riemannian-geometry #mean-curvature-flows
249
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Sobolev spaces on Riemannian manifolds - Reference request

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#reference-request #riemannian-geometry #sobolev-spaces
38
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A problem with my Riemann tensor when deriving the Schwarzschild metric.

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#riemannian-geometry #physics #mathematical-physics #general-relativity

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