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15
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Every Riemannian metric is a pseudo-Riemannian metric

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#riemannian-geometry #semi-riemannian-geometry
78
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Riemannian textbook reference request on umbilic points and totally umbilic hypersurfaces

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#differential-geometry #reference-request #riemannian-geometry #semi-riemannian-geometry
70
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Divergence of vector field on semi-Riemannian manifold

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#differential-geometry #semi-riemannian-geometry
60
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Globally hyperbolic and regularly hyperbolic manifold

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#differential-geometry #riemannian-geometry #semi-riemannian-geometry
46
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Closed timelike curves

Published on
#differential-geometry #semi-riemannian-geometry #causality
63
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Universal covering

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#differential-geometry #covering-spaces #semi-riemannian-geometry
289
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isometry between the hyperboloid model and the upper-half space model

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#riemannian-geometry #semi-riemannian-geometry
433
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Covariant derivative of conformal metric

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#differential-geometry #manifolds #riemannian-geometry #semi-riemannian-geometry
113
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Why is the group of gauge transformations $\mathcal{G}$ on the frame bundle isomorphic to $\text{Diff}(M)$?

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#fiber-bundles #principal-bundles #diffeomorphism #semi-riemannian-geometry #gauge-theory
75
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Examples of zero-curvature Lorentzian manifolds apart from Minkowski space?

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#manifolds #smooth-manifolds #curvature #semi-riemannian-geometry
209
Views

Intrinsic vs extrinsic geometry and gravitational singularities (such as the Kerr ring singularity)

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#general-topology #differential-geometry #singularity #general-relativity #semi-riemannian-geometry
25
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Minkowski formulae for hypersurfaces in GRW spacetimes

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#tensor-products #curvature #semi-riemannian-geometry #ricci-flow
66
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Jacobian and derivatives on manifolds

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#differential-geometry #jacobian #semi-riemannian-geometry
117
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Relation between Homotopy $\pi_0(G)$ and Surfaces of transitivity --- of Lorentz group $G$

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#lie-groups #lie-algebras #mathematical-physics #semi-riemannian-geometry #spin-geometry
40
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Narrow convergence and convergence of points

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#probability #measure-theory #weak-convergence #semi-riemannian-geometry

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