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Geometries
An axiom is said smarandachely denied if in the same space the axiom behaves differently (i.e., validated and invalided; or only invalidated but in at least two distinct ways). 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 Non-Euclidean. 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 Universes. Paper abstracts can be submitted online to the First International Conference on Smarandache Geometries, that will be held between 3-5 May, 2003, at the Griffith University, Gold Coast Campus, Queensland, Australia, organized by Dr. M. Khoshnevisan. An Introduction to the Smarandache Geometries, paper by M. Antholy, was presented to the New Zealand Mathematics Colloquium, at Palmerston North Campus, Massey University, 3-6 December 2001. You're welcome to join The Smarandache Geometries group.
Smarandache Geometries (1,
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