Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces

Sergiu I. Vacaru

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arXiv · hep-th/9810229

Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces

Sergiu I. Vacaru

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Abstract

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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Sergiu I. Vacaru. 1998-10-28. Gauge Gravity and Conservation Laws in Higher Order Anisotropic Spaces. https://arxiv.org/abs/hep-th/9810229

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