Minimal ideal

From formulasearchengine
Revision as of 20:47, 11 November 2013 by en>Xenxax (→‎References: repaired CS1 error)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

In the theory of causal structure on Lorentzian manifolds, Geroch's theorem or Geroch's splitting theorem (first proved by Robert Geroch) gives a topological characterization of globally hyperbolic spacetimes.

The theorem

Let be a globally hyperbolic spacetime. Then is strongly causal and there exists a global "time function" on the manifold, i.e. a continuous, surjective map such that:

Moreover, all Cauchy surfaces are homeomorphic, and is homeomorphic to where is any Cauchy surface of . Travel Agency Manager Alfonzo from Manotick, has numerous hobbies including comics, commercial property developers in singapore developers in singapore and creating a house. Recollects what an incredible area it was having traveled to Tubbataha Reefs Natural Park. Template:Differential-geometry-stub