On Fiber Bundles and Quaternionic Slice Regular Functions

The papers (González-Cervantes in Adv Appl Clifford Algebras 31:55, 2021; González-Cervantes Complex Variables and Elliptic Equations 2021) are the first works to apply theory of fiber bundles study quaternionic slice regular functions. main goal present work is extend results given (2021), where right linear space functions was presented as base a bundle. When associated certain domains then this paper shows that elements total space, defined from pair harmonic orthogonal vectors. Simplifying computations each element formed by two conjugate unit This also gives some interpretations behavior zero sets polynomials terms bundles.