A concept of Dirac-type tensor equations
Nikolai Marchuk
TL;DR
This paper introduces a novel formulation of Dirac-type tensor equations on four-dimensional parallelisable manifolds, utilizing wave functions within left ideals of complex differential forms.
Contribution
It develops a new concept of Dirac-type tensor equations using wave functions in left ideals of complex differential forms on parallelisable manifolds.
Findings
Formulation of Dirac-type tensor equations on four-dimensional manifolds
Wave functions are represented as elements of left ideals of differential forms
Potential applications in mathematical physics and geometry
Abstract
Considering a four dimensional parallelisable manifold, we develop a concept of Dirac-type tensor equations with wave functions that belong to left ideals of the set of nonhomogeneous complex valued differential forms.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Advanced Differential Geometry Research · Nonlinear Waves and Solitons