The Alpha Group Tensorial Metric

Autores/as

  • Cleber Souza Correa clebercsc@fab.mil.br
    Instituto de Aeronáutica e Espaço
  • Thiago Braido Nogueira de Melo braidotbnm@fab.mil.br
    Instituto de Aeronáutica e Espaço
  • Diogo Machado Custódio diogodmc@fab.mil.br
    Instituto de Aeronáutica e Espaço

DOI:

10.47976/RBHM2024v24n4851-57

Palabras clave:

Abstract Algebras, Group Theory, Abstract Geometry

Resumen

The Alpha Group is an abstract geometry group in R4. The way it was conceived allows a new interpretation of the structure of hypercomplex space with a new geometry and spatial topology, and a meaning for the geometric representation of R4 space to infinity. Therefore, it has been described as the tensorial metric formula in the Alpha Group. It will be shown that the Riemannian and Euclidean distance metrics between infinitesimal surfaces are represented as special cases of the metric of the Alpha group.

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Biografía del autor/a

Cleber Souza Correa, Instituto de Aeronáutica e Espaço

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Thiago Braido Nogueira de Melo, Instituto de Aeronáutica e Espaço

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Diogo Machado Custódio, Instituto de Aeronáutica e Espaço

.

Citas

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Publicado

2024-09-13

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Cómo citar

CORREA, Cleber Souza; MELO, Thiago Braido Nogueira de; CUSTÓDIO, Diogo Machado. The Alpha Group Tensorial Metric. Revista Brasilera de História de la Matemática, São Paulo, vol. 24, n.º 48, p. 51–57, 2024. DOI: 10.47976/RBHM2024v24n4851-57. Disponível em: https://rbhm.org.br/index.php/RBHM/article/view/482. Acesso em: 27 sep. 2024.

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