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A manifold that supports a such geometry is called Smarandache manifold (or s-manifold for short). As a special case, in this book Dr. Howard Iseri studies the s-manifold formed by any collection of (equilateral) triangular disks joined together such that each edge is the identification of one edge each from two distinct disks and each vertex is the identification of one vertex each of five, six, or seven distinct disks.
Thus, as a particular case, Euclidean, Lobacevsky-Bolyai-Gauss, and Riemann geometries may be united altogether, in the same space, by certain Smarandache geometries. These last geometries can be partially Euclidean and partially Non-Euclidean.
Definitions, theorems, solved and unsolved problems in number theory and geometry Автор: Florentin Smarandache Год: 2000 |
Spectral Methods: Fundamentals in Single Domains Автор: Claudio G Canuto Год: 2006 |
Spectral methods: fundamentals in single domains Автор: Claudio G Canuto Год: 2006 |
Projective and Cayley-Klein Geometries Автор: Arkadij L. Onishchik Год: 2006 |
Handbook of incidence geometry. Buildings and foundations Автор: Buekenhout F. (ed.) Год: 1995 |
Combinatorics of finite geometries Автор: Batten L.M. Год: 1997 |