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

Linfan Mao

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

Linfan Mao

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Abstract

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.

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Linfan Mao. 2006-04-22. Smarandache Multi-Space Theory(III)--Map geometries and pseudo-plane geometries. https://arxiv.org/abs/math/0604482

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