FiveDimensional Tangent Vectors in SpaceTime
Abstract
This article is a summary of a series of papers to be published where I examine a special kind of geometric objects that can be defined in spacetime  fivedimensional tangent vectors. Similar objects exist in any other differentiable manifold, and their dimension is one unit greater than that of the manifold. Like ordinary tangent vectors, the considered fivedimensional vectors and the tensors constructed out of them can be used for describing certain local quantities and in this capacity find direct application in physics. For example, such familiar physical quantities as the stressenergy and angular momentum tensors prove to be parts of a single fivetensor. In this paper I describe several different mathematical definitions of fivedimensional tangent vectors, discuss their basic algebraic and differential properties, and speak about their possible application in the theory of gravity and in gauge theories.
 Publication:

arXiv eprints
 Pub Date:
 April 1998
 DOI:
 10.48550/arXiv.mathph/9804011
 arXiv:
 arXiv:mathph/9804011
 Bibcode:
 1998math.ph...4011K
 Keywords:

 Mathematical Physics
 EPrint:
 25 pages, no figures, LaTex