1998/10/28 by Sergiu I. Vacaru
Physics and Astronomy · #hep-th
published as Sergiu Vacaru: Interactions, Strings, and Isotopies in Higher Order Anisotropic Superspaces (Hadronic Press, Palm Harbor, USA, 1998) 260-283 · 49 pages, latex209, submitted to JHEP
arxiv created 1998/10/28 · arxiv updated 2009/11/30
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.