# Start a new discussion

## Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

## Site Tag Cloud

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeJul 22nd 2011
• CommentRowNumber2.
• CommentAuthorTobyBartels
• CommentTimeJul 23rd 2011

Wow, I didn’t realise that the definition of globally hyperbolic was so simple!

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeJul 23rd 2011

Wow

Yes, it is surprising that this is not advertized more widely.

I have now added pointers to the theorems that establish this.

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJul 23rd 2011

I have expanded the discussion a bit more.

• CommentRowNumber5.
• CommentAuthorTobyBartels
• CommentTimeJul 23rd 2011

This theorem means that something that I wrote at Cauchy surface is not true; I fixed it in such a way as to link to globally hyperbolic (again) there.

• CommentRowNumber6.
• CommentAuthorUrs
• CommentTimeJul 23rd 2011

Currently the entry says that global hyperbolicity of $X$ implies the existence of a homeomorphism $\mathbb{R} \times \Sigma \to X$ that exhibits the foliation by Cauchy surfaces.

I should check: can we not assume that this is a diffeomorphism with respect to the canonical smooth structure?

I don’t have more time for this right now. Maybe somebody knows directly? Otherwise I’ll try to check later.