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Riemannian Triangles Third Side

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#differential-geometry #riemannian-geometry #triangles
69
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Moving hypersurface along the normal vector by different speed

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#geometry #differential-geometry #partial-differential-equations #riemannian-geometry #mean-curvature-flows
1k
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Geometric interpretation of Christoffel symbol symmetry in polar and cylindrical coordinates

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#differential-geometry #riemannian-geometry #curvature
99
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Solving $\Box u=0$ in an open set with $u(p)$ and $\mathrm{grad}\, u(p)$ prescribed

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#differential-geometry #partial-differential-equations #riemannian-geometry #general-relativity
163
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Understanding a proof about Riemannian metrics in three dimensions always being diagonalizable

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#differential-geometry #riemannian-geometry #diagonalization #linearization
2k
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How to find orthonormal frame of given metric?

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#differential-geometry #riemannian-geometry #smooth-manifolds #tensors #maple
61
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How to solve following PDE?

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#differential-geometry #partial-differential-equations #riemannian-geometry
187
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Possible correction for Theorem 6.13 (Hopf-Rinow) Lee's book Riemannian Manifold 2nd Ed?

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#differential-geometry #riemannian-geometry
56
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Combinatorial approximation of a Riemannian manifold

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#geometry #riemannian-geometry #combinatorial-geometry
116
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The space of specific $(1,1)$-tensors

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#differential-geometry #riemannian-geometry #tensors
131
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Is it possible to prove that every point on the circle can be expressed as $(\cos \theta,\sin \theta)$ using this approach?

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#geometry #ordinary-differential-equations #trigonometry #euclidean-geometry #riemannian-geometry
911
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Identity for Hodge star on product manifold

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#differential-geometry #riemannian-geometry #differential-forms
167
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Example of a function in Riemannian manifold

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#differential-geometry #riemannian-geometry #examples-counterexamples #tensors
350
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Locally but not globally symmetric manifold isometrically embedded in $\mathbb{R}^3$?

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#riemannian-geometry
316
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A compact flat manifold whose first Betti number is equal to the dimension is a flat torus

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#differential-geometry #riemannian-geometry #compact-manifolds #betti-numbers

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