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Are closed geodesics the prime numbers of Riemannian manifolds?

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#number-theory #differential-geometry #prime-numbers #riemannian-geometry #big-picture
199
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General formula to calculate the divergence of an operator

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#riemannian-geometry
1.5k
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Geometric Interpretation: Parallel forms are harmonic

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#differential-geometry #intuition #riemannian-geometry
1.1k
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Is there a Smooth Real Manifold which is not a Riemannian Manifold?

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#riemannian-geometry #smooth-manifolds
238
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warped products

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#manifolds #riemannian-geometry #curvature
1.7k
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Is $ds$ a differential form?

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#multivariable-calculus #differential-geometry #riemannian-geometry #differential-forms
2.7k
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Self-dual and anti-self-dual decomposition

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#riemannian-geometry #tensors #hodge-theory
195
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Distance function and Green's function

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#geometry #reference-request #riemannian-geometry
2.1k
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How to compute Bochner laplacian $\Delta=\nabla^*\nabla=\sum \nabla_{e_i}$?

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#ordinary-differential-equations #differential-geometry #riemannian-geometry
394
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Confused by local isometries

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#differential-geometry #riemannian-geometry
1.6k
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How can I compute the area of a geodesic triangle?

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#differential-geometry #riemannian-geometry
332
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Way distinguishing whether or not complex manifold

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#differential-geometry #lie-groups #riemannian-geometry
535
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The Ricci flow and $\frac{\partial}{\partial t}g_{ij}=-2(R_{ij}+\nabla_i \nabla_j f)$ are equivalent up to diffeomorphism

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#differential-geometry #riemannian-geometry #ricci-flow
253
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Reflection along subspace

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#metric-spaces #riemannian-geometry #reflection
371
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Block Decomposition of a linear map on $\Lambda^2TM$

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#linear-algebra #riemannian-geometry

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