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15
129
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Do pp-wave spacetimes have a well-defined signature/index?

Published on
#riemannian-geometry #general-relativity #semi-riemannian-geometry
768
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Can the Gram-Schmidt algorithm be extended to construct a basis for $T_p M$ of a semi-Riemannian manifold?

Published on
#linear-algebra #riemannian-geometry #quadratic-forms #semi-riemannian-geometry
683
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Does a coordinate chart have a smooth orthonormal frame w.r.t. a semi-Riemannian metric?

Published on
#linear-algebra #riemannian-geometry #semi-riemannian-geometry
265
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Is there a coordinate free proof for this result?

Published on
#differential-geometry #riemannian-geometry #alternative-proof #vector-bundles #semi-riemannian-geometry
188
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Making sense of $2{\rm grad}(\langle H,H\rangle) + 4 {\rm trace}(A_{DH}) = 0$

Published on
#differential-geometry #riemannian-geometry #harmonic-functions #semi-riemannian-geometry
276
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Points fixed by the isotropy group of the restricted Poincaré group in Minkowski space

Published on
#group-theory #semi-riemannian-geometry #rigid-transformation
53
Views

The equivalence of two definitions of Cauchy surfaces.

Published on
#differential-geometry #reference-request #general-relativity #semi-riemannian-geometry
141
Views

How to solve a second ODE involving the Lorentzian function, possibly using analytical methods?

Published on
#ordinary-differential-equations #mathematical-physics #semi-riemannian-geometry
271
Views

Definition of a metric tensor in Barrett O'Neil's book

Published on
#differential-geometry #smooth-manifolds #tensors #semi-riemannian-geometry
90
Views

Lorentz transformations in matrix form (Matrix Multiplication problem)

Published on
#matrices #transformation #semi-riemannian-geometry
879
Views

Show that Lorentzian metric restricts to Riemannian metric on hyperbolic space

Published on
#differential-geometry #riemannian-geometry #hyperbolic-geometry #semi-riemannian-geometry
733
Views

Showing that a regular curve is a pregeodesic

Published on
#differential-geometry #semi-riemannian-geometry
150
Views

Connected semi-riemannian manifold is an Einstein manifold.

Published on
#differential-geometry #semi-riemannian-geometry
554
Views

Intuition for warped product manifold.

Published on
#differential-geometry #partial-differential-equations #riemannian-geometry #general-relativity #semi-riemannian-geometry
93
Views

For $0<\nu<n$ there are no compact semi-Riemannian hypersurfaces in $\mathbb{R}_{\nu}^{n}$

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#differential-geometry #riemannian-geometry #semi-riemannian-geometry

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