Mathematics – General Mathematics
Scientific paper
2006-10-10
Mathematics
General Mathematics
15 pages, 3 figures
Scientific paper
A Smarandache geometry is a geometry which has at least one Smarandachely denied axiom(1969), i.e., an axiom behaves in at least two different ways within the same space, i.e., validated and invalided, or only invalided but in multiple distinct ways and a Smarandache n-manifold is a n-manifold that support a Smarandache geometry. Iseri provided a construction for Smarandache 2-manifolds by equilateral triangular disks on a plane and a more general way for Smarandache 2-manifolds on surfaces, called map geometries was presented by the author in [9]-[10] and [12]. However, few observations for cases of n>=3 are found on the journals. As a kind of Smarandache geometries, a general way for constructing dimensional n pseudo-manifolds are presented for any integer n>=2 in this paper. Connection and principal fiber bundles are also defined on these manifolds. Following these constructions, nearly all existent geometries, such as those of Euclid geometry, Lobachevshy-Bolyai geometry, Riemann geometry, Weyl geometry, Kahler geometry and Finsler geometry, ...,etc., are their sub-geometries.
No associations
LandOfFree
Pseudo-Manifold Geometries with Applications does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Pseudo-Manifold Geometries with Applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudo-Manifold Geometries with Applications will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-438057