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Interpolation of the metric tensor

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#riemannian-geometry #interpolation
223
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Flat connection of a vector bundle over a 1 dim. manifold

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#differential-geometry #riemannian-geometry
1.3k
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Visualizing Ricci scalar curvature

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#differential-geometry #riemannian-geometry #visualization #curvature
432
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a valuable question about differential geometry, the curve$\beta(s)=\alpha(s)-rn(s)$

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#real-analysis #analysis #geometry #differential-geometry #riemannian-geometry
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Can someone explain the basic idea behind the sectional curvature formula?

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#differential-geometry #riemannian-geometry
633
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hyperbolic geometry and affine transformations

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#algebraic-geometry #reference-request #differential-geometry #riemannian-geometry
683
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Dehn twist as isometries on hyperbolic surface

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#riemannian-geometry #riemann-surfaces #hyperbolic-geometry #moduli-space #teichmueller-theory
393
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An explicit Lorentzian metric on the Klein bottle

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#differential-geometry #riemannian-geometry
3.2k
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Equivalence for Christoffel symbol and Koszul formula

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#riemannian-geometry #connections
93
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Recognizing regular distributions

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#partial-differential-equations #riemannian-geometry #distribution-theory #dirac-delta #laplacian
37
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$D_vX$ is completely determined by $X$ restricted on any curve $r$ with $r'(0)=v,r(0)=p$.

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#riemannian-geometry #connections
116
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Induced connection is well-defined

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#riemannian-geometry #connections
385
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Computation of the extrinsic curvature tensor for a warp drive metric.

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#metric-spaces #riemannian-geometry #curvature
209
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What does $\langle R(x,z_i)x,z_i \rangle$ represent geometrically?

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#riemannian-geometry
877
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Equivalence of two distance function on a Riemannian manifold

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#calculus #inequality #manifolds #riemannian-geometry

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