Five-Dimensional Tangent Vectors in Space-Time: II. Differential-Geometric Approach
Krasulin, Alexander
arXiv, 9805025 / Harvested from arXiv
Text on arXiv
In this part of the series five-dimensional tangent vectors are introduced first as equivalence classes of parametrized curves and then as differential-algebraic operators that act on scalar functions. I then examine their basic algebraic properties and their parallel transport in the particular case where space-time possesses a special local symmetry. After that I give definition to five-dimensional tangent vectors associated with dimensional curve parameters and show that they can be identified with the five-vectors introduced formally in part I (math-ph/9805004). In conclusion I speak about differential forms associated with five-vectors.
Publié le : 1998-05-28
Classification:  Mathematical Physics,  General Relativity and Quantum Cosmology,  High Energy Physics - Theory 
@article{9805025,
     author = {Krasulin, Alexander},
     title = {Five-Dimensional Tangent Vectors in Space-Time: II.
  Differential-Geometric Approach},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805025}
}

Krasulin, Alexander. Five-Dimensional Tangent Vectors in Space-Time: II.
  Differential-Geometric Approach. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805025/