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Probability measure satisfying curvature-dimension

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#probability-theory #metric-spaces #riemannian-geometry #curvature
40
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Estimating the size of $\|\nabla s\|_{L^2}$ locally

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#differential-geometry #riemannian-geometry
28
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Silly confusion: how to geometrically define canonical flat metrics

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#differential-geometry #riemannian-geometry
37
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From local to gloabl comparison of Riemannian metrics

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#differential-geometry #riemannian-geometry
55
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Complete Riemann Manifold

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#metric-spaces #riemannian-geometry
109
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What it means for a differential form to be on a manifold and how to "find" it

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#differential-geometry #riemannian-geometry #differential-forms
38
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Why is torsion (curvature) a tensor field?

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#differential-geometry #riemannian-geometry #smooth-manifolds #tensors
86
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What's wrong in this prop about volume form if we drop "oriented"?

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#differential-geometry #riemannian-geometry #global-analysis
577
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Is the tangent-cotangent isomorphism orientation preserving?

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#differential-geometry #riemannian-geometry
129
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Finding a frame for a vector bundle in a smooth manifold with a connection

Published on
#riemannian-geometry
1.6k
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Equivalent definitions of a surface

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#differential-geometry #manifolds #riemannian-geometry #surfaces #smooth-manifolds
312
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Non-constant rank of a smooth map and orthnormal basis in the normal bundle

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#differential-geometry #riemannian-geometry
374
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Characterisation of local affine diffeomorphisms

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#differential-geometry #riemannian-geometry #geodesic
177
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Help understanding John Lee's definition of curvature

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#riemannian-geometry
494
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Continuous function with non-negative second derivative in the weak sense is convex

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#real-analysis #riemannian-geometry

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