Alexander Krasulin. Five-dimensional Tangent Vectors in Space-time: Ii. Differential-geometric Approach
Submitted on: Jun 11, 2012, 18:02:12
Natural Sciences / Mathematics / Geometry
Description: 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. In conclusion I speak about differential forms associated with five-vectors.
The Library of Congress (USA) reference page : http://lccn.loc.gov/cn2013300046.
To read the article posted on Intellectual Archive web site please click the link below.