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15
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Two definitions of a connection

Published on
#differential-geometry #riemannian-geometry #vector-bundles
453
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Why is the matrix representation of an almost complex structure like this?

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#linear-algebra #riemannian-geometry #complex-manifolds #almost-complex #teichmueller-theory
417
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Ricci equation is trivial in codimension $1$

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#geometry #differential-geometry #riemannian-geometry #smooth-manifolds #submanifold
888
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How to derive the Euler Lagrange equation for geodesics?

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#riemannian-geometry #geodesic #euler-lagrange-equation
51
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Inner product of fields extension on a Riemannian Manifold

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#riemannian-geometry #smooth-manifolds #submanifold
640
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Is the Wikipedia formula for the Gauss equation correct?

Published on
#manifolds #riemannian-geometry #curvature
67
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Expressing Lie Derivative in Local Coordinates

Published on
#riemannian-geometry #lie-derivative
288
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Are Jacobi Fields the geodesics of the tangent bundle?

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#differential-geometry #riemannian-geometry #geodesic #tangent-bundle
283
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Normal Derivative of Scalar Curvature at a Minimal Surface

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#differential-geometry #riemannian-geometry #minimal-surfaces
1.1k
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Klein bottle with constant curvature is flat

Published on
#differential-geometry #riemannian-geometry #surfaces #semi-riemannian-geometry #non-orientable-surfaces
114
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Searching for a connected neighborhood of fixed radius for every point of a submanifold

Published on
#differential-geometry #riemannian-geometry #smooth-manifolds #manifolds-with-boundary
201
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Lee Introduction to Smooth Manifolds - Why is Riemannian metric continuous?

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#differential-geometry #riemannian-geometry #tensors
104
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Which smoothness properties are preserved under ramified covering maps?

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#differential-geometry #riemannian-geometry #riemann-surfaces #covering-spaces
50
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How to estimate the norm of Jacobi fields or to compute $\langle J(0),J'(0)\rangle$

Published on
#riemannian-geometry
587
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What is $\nabla X$ in Riemannian geometry?

Published on
#riemannian-geometry #connections

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