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Riemannian geometry before semi-Riemannian geometry?

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#differential-geometry #reference-request #soft-question #riemannian-geometry #semi-riemannian-geometry
40
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Help with this proof: if K is a timelike killing vector field, what does the notations $g(K, K)$ and $g(K, \gamma^{\prime})$ denote?

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#real-analysis #geometry #vector-bundles #semi-riemannian-geometry
461
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Meaning of a $(0,2)$ tensor field being "nondegenerate"

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#differential-geometry #riemannian-geometry #semi-riemannian-geometry
54
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Time-minimizing trajectories in the presence of a strong wind on a Riemannian manifold?

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#differential-geometry #optimization #optimal-control #semi-riemannian-geometry #finsler-geometry
138
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Space divergence/Stokes theorem on manifolds

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#differential-geometry #differential-forms #stokes-theorem #semi-riemannian-geometry
73
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Can a Lorenz surface be a Lorentz surface?

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#statistics #smooth-manifolds #surfaces #riemann-surfaces #semi-riemannian-geometry
86
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Contravariant associate to volume form

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#riemannian-geometry #tensors #semi-riemannian-geometry
754
Views

Noncompact (Lie) group has no faithful, finite dimensional, and unitary representations?

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#group-theory #representation-theory #lie-groups #lie-algebras #semi-riemannian-geometry
60
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Curvature of a local deformation of a Riemannian manifold

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#riemannian-geometry #curvature #manifolds-with-boundary #semi-riemannian-geometry
153
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Proving semi-Riemannian submanifolds are transversal

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#differential-geometry #manifolds #semi-riemannian-geometry #transversality
233
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Can any vector be extended locally to a geodesic vector field?

Published on
#riemannian-geometry #geodesic #semi-riemannian-geometry #foliations
23
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Explicit properties of all (unrestricted) instances of Synge's world function

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#metric-spaces #semi-riemannian-geometry
46
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Is Synge's world function redundant?

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#metric-spaces #semi-riemannian-geometry
351
Views

Why the proof of existence of Riemannian metric does not apply to pseudo Riemannian metric?

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#metric-spaces #riemannian-geometry #smooth-manifolds #semi-riemannian-geometry
216
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Pushforward Lorentz metric: $ds^2=dxdy $

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#differential-geometry #metric-spaces #semi-riemannian-geometry #pushforward

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