On the complexifications of the Euclidean Rⁿ spaces and the\n n-dimensional generalization of Pithagore theorem

2010/06/29 by Gennady Volkov, Volkov, Gennady · 1 citation
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1006.5630

openalex publication_date 2010/06/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Citations

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties

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