<I believe that in neutral geometry, given a ray, there is a unique point on<br> the ray at any distance from the endpoint. There is also a ray making ...
<<If Smarandache geometries are manifolds, then that helps me, because I<br> can kind of visualize manifolds.<br><br> I really want something to ...
<<I don't really know how to think about these Smarandache geometries.<br> Jean says that they could be defined on any manifold. It would help me a<br>...
If Smarandache geometries are manifolds, then that helps me, because I can kind of visualize manifolds.<br><br>I really want something to visualize, so if they...
I don't really know how to think about these Smarandache geometries. Jean says that they could be defined on any manifold. It would help me a lot if I could ...
I think absolute geometry and neutral geometry are the same too.<br><br>On my original two "conclusions," I think both are true, if we assume all of Hilbert's...
<<I think Mike asked about the difference between absolute and neutral<br> geometry. I'm not sure. They might be the same. I'm using neutral<br> geometry...
<< I think this is because Riemann was<br> more interested in viewing geometry as a local phenomenon. >><br><br>Because Mr. Howard had an ...
<< If you could "visualize" a Smarandache geometry as a curved surfade (a<br> Riemannian geometry) or something like a set of parallel universes, ...
<<I believe Einstein mostly used this second type of Riemannian geometry.<br> Dacosta Teresinha's idea together with one of the earlier messages ...
<<If this is the case, wouldn't the "neutral geometry" axioms force the<br> Smarandache geometries to be 2-manifolds (essentially)?>><br><br>Hi...
There are two kinds of geometries that I've seen that are called Riemannian. One is the elliptic geometry seen in standard geometry texts. It seems that it ...
I also have a question - sorry if it's too bold: <br><br>Because the theory of relativity uses the Riemannian geometry, and because the Smarandache geometries...
<<Hi everyone. I'm a new member.>><br><br>Every body is new because the club started less than one month ago. Therefore, welcome hiseri1 ...
Hi everyone. I'm a new member.<br><br>I have a couple questions and thoughts as I try to get up to speed.<br><br>I haven't been to the library yet, but can I...
I agree with yyimmo that there is only a geometry.<br>That's what Smarandache geometries try to accomplish: to unite more euclidean and non-euclidean...
After the well-known Non-Euclidean geometries of Lobachevsky-Bolyai and Riemann there is another class of Non-Euclidean geometries developped by F. Smarandache...