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Results tagged with semi-riemannian-geometry
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user 26935
Manifolds with a non-degenerate symmetric bilinear form in each tangent space varying differentiably but with constant index and signature.
3
votes
Accepted
Are all orbits semi-Riemannian submanifolds?
No!
Consider the adjoint action of $SL(2,\mathbb R)$ on its Lie algebra with the Killing form,
which is $\mathbb R^{1,2}$. The orbits are:
Non-closed: future light cone, past light cone. 0 is in th …
- 25.3k
3
votes
Accepted
Why are they called "screen" distributions?
Naturally, one should consider the quotient space $V/{\rm rad}(V)$ which consists of ${\rm rad}(V)$-rays (affine spaces parallel to ${\rm rad}(V)$). A screen space $SV$ intersects a ray in exactly one …
- 25.3k