What's more general than Riemann space?
in [Relativity]
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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.
From: Igor on 13 Jun 2010 10:30 On Jun 12, 8:04 pm, "Androcles" <Headmas...(a)Hogwarts.physics_z> wrote: > "Edward Green" <spamspamsp...(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. BUZZ!!! Euclidean space is a subset of Riemann space. No cookie for you.
From: Androcles on 13 Jun 2010 10:49 "Igor" <thoovler(a)excite.com> wrote in message news:bd35ebdd-08a8-42eb-abf7-614afe8a7eb2(a)e5g2000yqn.googlegroups.com... On Jun 12, 8:04 pm, "Androcles" <Headmas...(a)Hogwarts.physics_z> wrote: > "Edward Green" <spamspamsp...(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. BUZZ!!! Euclidean space is a subset of Riemann space. No cookie for you. ================================================= BUZZ!!! Riemann space has a different postulate to Euclidean space. http://en.wikipedia.org/wiki/Parallel_postulate BUZZ!!! I would claim that Euclidean space was a subset of Lobachevsky space if I was as ignorant as you. BUZZ!!! You couldn't even buy a clue, let alone a cookie.
From: Edward Green on 13 Jun 2010 17:35 On Jun 13, 10:30 am, Igor <thoov...(a)excite.com> wrote: > 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. Thanks, Igor.
From: eric gisse on 13 Jun 2010 19:53
Edward Green wrote: > On Jun 13, 10:30 am, Igor <thoov...(a)excite.com> wrote: >> 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. > > Thanks, Igor. Einstein-Cartan space is interesting because while it has a metric, it also has torsion as opposed to pseudo-Riemann spaces (relativity) which has none. |