FiveDimensional Tangent Vectors in SpaceTime: II. DifferentialGeometric Approach
Abstract
In this part of the series fivedimensional tangent vectors are introduced first as equivalence classes of parametrized curves and then as differentialalgebraic operators that act on scalar functions. I then examine their basic algebraic properties and their parallel transport in the particular case where spacetime possesses a special local symmetry. After that I give definition to fivedimensional tangent vectors associated with dimensional curve parameters and show that they can be identified with the fivevectors introduced formally in part I (mathph/9805004). In conclusion I speak about differential forms associated with fivevectors.
 Publication:

arXiv eprints
 Pub Date:
 May 1998
 DOI:
 10.48550/arXiv.mathph/9805025
 arXiv:
 arXiv:mathph/9805025
 Bibcode:
 1998math.ph...5025K
 Keywords:

 Mathematical Physics;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematics  Mathematical Physics
 EPrint:
 Full version of mathph/9804011, 17 pages, no figures, LaTex