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Invertibility of $-\Delta +1$ on a closed manifold

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#partial-differential-equations #riemannian-geometry
625
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Link between affine connections and Lie brackets

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#differential-geometry #manifolds #differential-topology #lie-groups #riemannian-geometry
1.4k
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Hessian of the square of the distance function

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#differential-geometry #reference-request #riemannian-geometry
75
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Why is $(d\exp_x)_v$ equal to the identity?

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#differential-geometry #riemannian-geometry
250
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Calabi-Yau condition in darboux coordinates

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#differential-geometry #riemannian-geometry #complex-geometry #symplectic-geometry #kahler-manifolds
458
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Two spheres with different metric are not isometric

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#differential-geometry #riemannian-geometry
338
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Index of fundamental bilinear form is constant in each connected component of a manifold

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#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds
1k
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Levi--Civita connection of a product metric

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#differential-geometry #riemannian-geometry #direct-sum #connections #tangent-bundle
106
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Osculating circle and principal curvatures in Riemannian geometry

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#differential-geometry #reference-request #riemannian-geometry
469
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Finding the variation field

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#differential-geometry #manifolds #differential-topology #riemannian-geometry
1.8k
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Lee - Introduction to Topological Manifolds - How to solve exercises

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#manifolds #riemannian-geometry #smooth-manifolds #geometric-topology
64
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Change of vector fields between different manifolds

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#general-topology #differential-geometry #manifolds #riemannian-geometry #vector-fields
333
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A continuously differentiable isometry is smooth?

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#metric-spaces #riemannian-geometry #smooth-manifolds #metric-geometry
34
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Initial data on a curve

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#manifolds #riemannian-geometry #geodesic
457
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A differentiable isometry is smooth?

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#riemannian-geometry #smooth-manifolds #isometry

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