Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces

Details Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces

1998-10-28

arxiv.org/abs/hep-th/9810229v1

Sergiu Vacaru: Interactions, Strings, and Isotopies in Higher Order Anisotropic Superspaces (Hadronic Press, Palm Harbor, USA,

Physics

High Energy Physics

High Energy Physics - Theory

49 pages, latex209, submitted to JHEP

Scientific paper

We propose an approach to the theory of higher order anisotropic field interactions and curved spaces (in brief, ha-field, ha-interactions and ha-spaces). The concept of ha-space generalises various types of Lagrange and Finsler spaces and higher dimension (Kaluza-Klein) spaces. This work consists from two parts. In the first we outline the theory of Yang-Mills ha-fields and two gauge models of higher order anisotropic gravity are analyzed. The second is devoted to the theory of nearly autoparallel maps (na-maps) of locally anisotropic spaces (la-spaces) and to the problem of formulation of conservation laws for la-field interactions. By defining invariants of na-map transforms we present a systematic classification of la-spaces.

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