Alexander Krasulin. Five-dimensional Tangent Vectors in Space-time: Ii. Differential-geometric Approach


Natural Sciences / Mathematics / Geometry

Submitted on: Jul 30, 2012, 10:45:36

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 abstract of this article has been published in the "Intellectual Archive Bulletin" , July 2012, ISSN 1929-1329.

The full-text article has been published in the "IntellectualArchive" journal , Vol.1, Num.3, July 2012, ISSN 1929-4700.

The Library and Archives Canada reference page: collectionscanada.gc.ca/ourl/res.php?url_ver=Z39.88......

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5D_tangent_vectors_Part_2.pdf



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