Spinors in Higher Dimensional and Locally Anisotropic Spaces

Abstract

The theory of spinors is developed for locally anisotropic (la) spaces, in brief la-spaces, which in general are modeled as vector bundles provided with nonlinear and distinguished connections and metric structures (such la-spaces contain as particular cases the Lagrange, Finsler and, for trivial nonlinear connections, Kaluza-Klein spaces). The la-spinor differential geometry is constructed. The distinguished spinor connections are studied and compared with similar ones on la-spaces. We derive the la-spinor expressions of curvatures and torsions and analyze the conditions when the distinguished torsion and nonmetricity tensors can be generated from distinguished spinor connections. The dynamical equations for gravitational and matter field la-interactions are formulated.

54 pages, Revtex, an extension of the paper published in J. Math. Phys. 37 (1996), 508--523

References in corpus (2)

• Nearly Autoparallel Maps, Tensor Integral and Conservation Laws in Locally Anisotrpoic Spaces
• Stochastic Processes and Diffusion on Spaces with Local Anisotropy

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