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15
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Name of the tensor

Published on
#terminology #riemannian-geometry #tensors
102
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Volume of small geodesic balls; Uniform bounds vs Landau notation

Published on
#differential-geometry #riemannian-geometry
35
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Prove that $(\mathbb{R^n}\setminus\{0\}, g_\mathcal{E})$ and the cylinder $((0,+\infty)\times S^{n-1}, dr^2+r^2g_\mathcal{E})$ are isometric

Published on
#differential-geometry #manifolds #riemannian-geometry #smooth-manifolds
70
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Computation (example) with vector fields in $\mathbb{R}^3$.

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#differential-geometry #riemannian-geometry #vector-analysis #vector-fields #heisenberg-group
188
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Is Gromov's conjecture about optimal Betti number estimate true for compact manifolds?

Published on
#differential-geometry #differential-topology #riemannian-geometry #conjectures
149
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Is a surface curve made of planar points necessarily a line?

Published on
#differential-geometry #riemannian-geometry #surfaces #curves #submanifold
131
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A property on geodesic triangle involving the inverse of exponential map inverse

Published on
#riemannian-geometry #geodesic
547
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How can isotropic manifolds be of non-constant curvature?

Published on
#manifolds #riemannian-geometry #geometric-topology #curvature #homogeneous-spaces
195
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Is torsion-free affine connection not unique, but there is only one that is compatible with the metric?

Published on
#differential-geometry #riemannian-geometry #connections #gauge-theory
229
Views

Orientability of a submanifold which is a preimage of a submanifold

Published on
#differential-geometry #riemannian-geometry #smooth-manifolds #vector-bundles #transversality
231
Views

maximum principle for norm of gradient of a harmonic function in a riemannian manifold with boundary

Published on
#riemannian-geometry #harmonic-functions #maximum-principle
143
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What does "antisymmetric" mean for the adjoint map of a Lie algebra?

Published on
#differential-geometry #lie-groups #riemannian-geometry #lie-algebras #geodesic
278
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Minimal Manifold, $\mathbb{R}^4$

Published on
#differential-geometry #riemannian-geometry #minimal-surfaces
33
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Divergence rate for the length of the boundary of a riemann disk

Published on
#riemannian-geometry
384
Views

Bounds on the norm $|J'|$, where $J$ is a Jacobi field

Published on
#differential-geometry #taylor-expansion #riemannian-geometry

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