On the complexifications of the Euclidean $R^n$ spaces and the n-dimensional generalization of Pithagore theorem

Details On the complexifications of the Euclidean $R^n$ spaces and the n-dimensional generalization of Pithagore theorem On the complexifications of the Euclidean $R^n$ spaces and the n-dimensional generalization of Pithagore theorem

2010-06-29

arxiv.org/abs/1006.5630v1

Physics

Mathematical Physics

Scientific paper

We will discuss the following results C_n complexification of R(n) spaces,
C_n structure and the invariant surfaces C_n holomorphicity and harmonicity. We
also consider the link between C_n holomorphicity and the origin of spin 1/n.
In our approach appears a new geometry and N-ary algebras/symmetries.

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