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108
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conversion of a metric from hyperbolic to Riemann normal coordinates

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#metric-spaces #riemannian-geometry #transformation #hyperbolic-geometry #curvature
349
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Isometries of the Round Sphere

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#geometry #differential-geometry #metric-spaces #riemannian-geometry
26
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What means a Riemannian manifold be in a function space?

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#partial-differential-equations #riemannian-geometry #sobolev-spaces #function-spaces
294
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Conformal Riemannian Metrics preserve angles but not lengths

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#geometry #differential-geometry #manifolds #riemannian-geometry #solution-verification
146
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Space form structure for non orientable surfaces

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#differential-geometry #differential-topology #lie-groups #riemannian-geometry #symmetric-spaces
46
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Good literature on harmonic maps between manifolds

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#differential-geometry #reference-request #manifolds #riemannian-geometry #general-relativity
192
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Norm of wedge product of forms

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#differential-geometry #riemannian-geometry #differential-forms
51
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Maximizing the function $f:O(3,\mathbb{R}) \to \mathbb{R}$

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#linear-algebra #riemannian-geometry
94
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What are differences between coordinate balls and geodesic balls in applications?

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#geometry #differential-geometry #manifolds #riemannian-geometry #geodesic
163
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Li-Yau gradient estimates on Riemannian manifolds with decaying Ricci curvature

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#differential-geometry #riemannian-geometry #heat-equation
131
Views

Why is $f:[0,1) \rightarrow \mathbb{R}^2$ whose image is a "figure of six" a counterexample for injective immersion $\implies$ embedding?

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#differential-geometry #manifolds #differential-topology #riemannian-geometry #smooth-manifolds
50
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calculations with the Riemann curvature

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#differential-geometry #reference-request #notation #riemannian-geometry
112
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Why does $\dim M > \dim N \implies$ there are no regular points $x \in M$, where $M,N$ are smooth manifolds?

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#linear-algebra #differential-geometry #manifolds #differential-topology #riemannian-geometry
69
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Kostant's connection on $\Lambda^2(M)\oplus TM$

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#differential-geometry #riemannian-geometry #connections
820
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The Sobolev embedding inequality on manifolds

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#analysis #differential-geometry #riemannian-geometry #sobolev-spaces #compact-manifolds

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