<<I'd like to ask you to change in your article: An axiom is said smarandachely denied if in the same space the axiom behaves differently (i.e., ...
<<Now, an idea came to my mind: what about a Howard model with only two singular points: an hyperbolic point and an elliptic point? Simper Howard model ...
<<Yes, I will make this change.>><br><br>Okay, I changed it and put in again in the web.<br><br>Please answer my question: could you see the...
<<The only two 3D elliptic spaces I can think of is the 3-sphere, and the 3D<br> Real Projective plane. In the 3-sphere, "lines" are great circles,...
It seems that the Smarandache geometries on Howard's models are differential geometries.<br>Can we say that all Smarandache geometries are differential...
Now I understand better Howard's models after reading his paper. Thanks for posting it.<br><br>The first time I misunderstood that by flattening Howard models...
<<The only two 3D elliptic spaces I can think of is the 3-sphere, and the 3D<br> Real Projective plane. In the 3-sphere, "lines" are great circles,...
<<The only two 3D elliptic spaces I can think of is the 3-sphere, and the 3D<br> Real Projective plane. In the 3-sphere, "lines" are great circles,...
What about this projection, when the point of projection from is in a pole?<br><br>I feel that I messed up the previous message - the gnomonic projection!!...
I got, in a private email, the following response from HOWARD to my previous question:<br><br>"About the Linear manifolds. I don't think there are linear ...
Sorry, I need to correct one of my previous messages - that I'll soon delete:<br><br>If we consider a sphere and its center, and the projection of the sphere ...
<<Saccheri or Lambert quadrilaterals apply to hyperbolic geometries, would it be possible to find something analogous for the Smarandache geometries?...
<<because howard encouraged us to ask, then my question is:<br>what connection is between a riemannian geometry and a riemannian manifold?<br><br>how ...
<<Can we say that all Smarandache geometries are differential geometries?>><br><br>I think there are a lot of Smarandache geometries that are...
<<What is a metric tensor? A nonsingular square matrix? How does it work on a manifold? [forming a Riemannian manifold] >><br><br>A square matrix...
Mike's projections remind me of another kind of geometry. It is called a Mobius geometry, and it contains Euclidean, elliptic, and hyperbolic geometry, but not...
I like Howard's models which are continuous and professional.<br>For a while I read only the messages but an idea recently came to my mind:<br><br>Let's...
<<I have called my triangle models Smarandache<br> manifolds. Virtually all of these are Smarandache geometries in some way,<br> but I am sure that...
As far as I understand the constant of a Smarandache manifold would be the variation of curvatures of its points. Since a such geometry has parts of each type...
<<What about smarandachely denying other axioms, what is the impact on<br> the curvature?>><br><br>I meant keeping the parallel postulate euclidean...
Because Howard encouraged us to ask many questions:<br>what are Laguerre Geometry, Minkowski Geometry, Lie Geometry, Mobius geometry, Desarguesian and Pappian ...
the curvature k = 1/r > 0, where r is the radius of cylinder's bases, on euclidean region.<br><br>my question is if the curvature is zero for each point...
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