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contradiction in divergence free vector field on sphere

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#differential-geometry #riemannian-geometry
125
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Introduction to Riemannian manifolds problem $4-14$ related to connection $1$-forms

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#differential-geometry #riemannian-geometry
89
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Orientation preserving isometries of the sphere

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#linear-algebra #differential-geometry #riemannian-geometry #orientation
33
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Sectional curvature of tangent plane is preserved under exponential map

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#riemannian-geometry
43
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Compact Lie groups question

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#riemannian-geometry
144
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Ricci curvature and shape operator in hypersurfaces

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#differential-geometry #riemannian-geometry
42
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What is the $H^{-1}$ metric?

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#functional-analysis #riemannian-geometry
95
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What does the metric $\dot{H}^{1/2}$ refer to?

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#functional-analysis #riemannian-geometry
139
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Brenier theorem on manifold

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#statistics #metric-spaces #riemannian-geometry #optimal-transport
36
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The complex projective space is isotropic

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#riemannian-geometry #projective-space
166
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Proof of a Caccioppoli type inequality

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#real-analysis #reference-request #riemannian-geometry #harmonic-analysis
80
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exterior derivative vs connection: $d= \theta^i\wedge\nabla_{e_i}$

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#differential-geometry #riemannian-geometry #differential-forms #connections
285
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How to define Brownian motion for constraint matrix manifold?

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#probability #matrices #differential-geometry #stochastic-processes #riemannian-geometry
370
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Scalar curvature under conformal change of metric

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#riemannian-geometry #curvature
39
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Lemma 1.34 in Colding-Minicozzi

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#partial-differential-equations #riemannian-geometry #elliptic-equations #minimal-surfaces

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