Smarandache Multi-Space Theory(III)--Map geometries and pseudo-plane geometries

Research paper by Linfan Mao

Indexed on: 22 Apr '06Published on: 22 Apr '06Published in: Mathematics - General Mathematics


A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. This is the third part on multi-spaces concertrating on Smarandache geometries, including those of map geometries, planar map geometries and pseudo-plane geometries. In where, the Finsler geometry, particularly the Riemann geometry appears as a special case of these Smarandache geometries.