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A SMARANDACHE GEOMETRY is a geometry which has at least one Smarandachely denied axiom (1969).
Thus, as a particular case, Euclidean, Lobachevsky-Bolyai-Gauss, and
Riemannian geometries may be united altogether, in the same
space, by some Smarandache geometries.
These last geometries can be partially Euclidean and partially
It seems that Smarandache Geometries are connected with the
Theory of Relativity (because they include the Riemannian
geometry in a subspace) and with the Parallel
Papers, notes, comments are welcome and
will be published in a collection book.
- Jul 26, 2001
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