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From: Edward Green on 12 Jun 2010 19:04
What's more general than Riemann space? Apparently it results from
relaxing the requirement that there be a metric tensor, and is
conventionally denoted by a capital script letter which I cannot
decipher. What is likely the letter, and what is the space called?
From: BURT on 12 Jun 2010 19:17
On Jun 12, 4:04 pm, Edward Green <spamspamsp...(a)netzero.com> wrote:
> What's more general than Riemann space?  Apparently it results from
> relaxing the requirement that there be a metric tensor, and is
> conventionally denoted by a capital script letter which I cannot
> decipher.  What is likely the letter, and what is the space called?

A round or spherical 3D space curve. This is spherical Riemannian
geometry applied to gravity. It also applies to aether but people do
not want to believe.

The old parabolic geometry needs to be corrected by a spherical one.
Even for cosmology but up one dimension when the aether closes the
universe.

MItch Raemsch
From: Androcles on 12 Jun 2010 20:04

"Edward Green" <spamspamspam3(a)netzero.com> wrote in message
news:4c04f840-cc88-437e-b4e0-ffe904ca73fc(a)35g2000vbj.googlegroups.com...
| What's more general than Riemann space?

Euclidean space.


From: eric gisse on 12 Jun 2010 22:08
Edward Green wrote:

> What's more general than Riemann space?

Lots. Riemann manifolds presume finite & real coordinate values with a
positive determinant of the metric tensor.


> Apparently it results from
> relaxing the requirement that there be a metric tensor, and is
> conventionally denoted by a capital script letter which I cannot
> decipher. What is likely the letter, and what is the space called?

No Edward, the metric is a required construct for Riemannian manifolds.
From: Igor on 13 Jun 2010 10:30
On Jun 12, 7:04 pm, Edward Green <spamspamsp...(a)netzero.com> wrote:
> What's more general than Riemann space?  Apparently it results from
> relaxing the requirement that there be a metric tensor, and is
> conventionally denoted by a capital script letter which I cannot
> decipher.  What is likely the letter, and what is the space called?

Well, for starters, there are Finsler spaces, Einstein-Cartan spaces,
and all sorts of fiber spaces.
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