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15
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Definition of parallel transport by M. Berry as a transport without twisting around normal vector

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#riemannian-geometry #vector-bundles #connections #cartan-geometry
231
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Stokes theorem for non-compact case

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#differential-geometry #partial-differential-equations #manifolds #riemannian-geometry #stokes-theorem
737
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Metric of $n$-torus

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#differential-geometry #riemannian-geometry
151
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Different equations for mean curvature flow

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#differential-geometry #riemannian-geometry #mean-curvature-flows
240
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Coordinate-free Calculus of Variations?

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#calculus #reference-request #riemannian-geometry
585
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When is a Divergence-Free Vector Field on the Tangent Bundle of a Riemannian Manifold Hamiltonian?

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#differential-topology #riemannian-geometry #symplectic-geometry #hamilton-equations
468
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For a metric space, is the measure determined by the metric?

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#integration #riemannian-geometry #lebesgue-measure
1.1k
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Riemannian manifold - scaling the metric

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#differential-geometry #riemannian-geometry
40
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Is the manifold $S^1\times S^1 \times D^2$ a hyperkaehler manifold?

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#riemannian-geometry #complex-geometry #kahler-manifolds
454
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Do Carmo Riemanniam Geometry Page 46 quesion 7

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#differential-geometry #lie-groups #riemannian-geometry #differential-forms
200
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Proving $\nabla_X (\text{tr}\ F) = \text{tr} (\nabla_XF)$.

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#linear-algebra #differential-geometry #manifolds #riemannian-geometry #tensor-products
507
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Poincaré's inequality for vector fields on a surface

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#analysis #riemannian-geometry #curvature #integral-inequality #geometric-inequalities
390
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Connection compatible with a volume form

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#differential-geometry #riemannian-geometry
104
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Harmonic 1-forms on complete non-compact manifolds

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#differential-geometry #riemannian-geometry
515
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Confusion over what indices to contract when deriving Ricci curvature from the curvature tensor?

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#differential-geometry #riemannian-geometry #tensor-products #tensors #curvature

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