Marques, S.Oliveira, C. G.2022-04-292022-04-291985-01-01Journal of Mathematical Physics, v. 26, n. 12, p. 3131-3139, 1985.0022-2488http://hdl.handle.net/11449/231036A treatment of a non-Riemannian geometry including internal complex, quaternionic, and octonionic space is made. Then, an interpretation of this geometry for the nonsymmetric theory of Einstein-Schrödinger, and for the unified theory of Borchsenius is showed. Finally, field equations in the extended octonionic geometry of space-time are obtained through a minimal action principle.3131-3139engArtigo10.1063/1.5266932-s2.0-34248562549