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El análisis de Clifford tiene muchas aplicaciones inesperadas en geometría diferencial y análisis global. Es el caso del tratamiento efectivo de las rotaciones en espacios euclidianos de alta dimensión mediante los grupos espinoriales, uno de los cuales es el grupo de Lorentz de la relatividad especial. En el presente estudio se aborda la reconstrucción de campos multivectoriales a partir del salto que estos experimentan sobre una superficie de geometría suficientemente irregular en espacios euclidianos. Además, se presentan algunos problemas de frontera para ecuaciones de Dirac de segundo orden que no quedan bien planteados si se consideran bases ortonormales diferentes a la base estándar.
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Derechos de autor 2024 Revista de la Academia Colombiana de Ciencias Exactas, Físicas y Naturales