Reconstrucción de campos multivectoriales a partir del análisis de Clifford.

Abstract

The Clifford analysis has many applications in differential geometry and global analysis, such as the effective treatment of rotations in high-dimensional Euclidean spaces employing spinorial groups, where a particular example is the Lorentz group of special relativity. Here we approach the reconstruction of multivectorial fields from the jump occurring when they go through a surface of sufficiently irregular geometry in Euclidean spaces. Additionally, we show some boundary value problems for second-order Dirac equations that are not well posed if orthonormal bases different from the standard base are considered.