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The Three-Dimensional Universe, Where We Are Not Living...

... manifolds are hyperbolic, in other words they obey the laws of the Lobachevski geometry. For this result he was awarded the Fields Medal in 1983 – the most prestigious award for mathematicians. Spherical manifolds can be both three-dimensional and multi-dimensional (Wolf, 1982). In the space of any dimension there exists a finite number of types of such manifolds. The number of synthetic manifolds is very few (Thurston, 1978; Dunbar, 1981; Thurston 2001) in contrast to the class of hyperbolic manifolds....

Modified: 30.05.2006
space , manifold , geometry , Euclid , Lobachevsky , Riemann , mathematics , multi-dimensional , forms , point , sphere , torus , polyhedral , orbifolds
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