Alexander Krasulin. Five-dimensional Tangent Vectors in Space-time: Iii. Some Applications
Submitted on: Jun 11, 2012, 18:03:29
Natural Sciences / Mathematics / Geometry
Description: In this part of the series I show how five-tensors can be used for describing in a coordinate-independent way finite and infinitesimal Poincare transformations in flat space-time. As an illustration, I reformulate the classical mechanics of a perfectly rigid body in terms of the analogs of five-vectors in three-dimensional Euclidean space. I then introduce the notion of the bivector derivative for scalar, four-vector and four-tensor fields in flat space-time and calculate its analog in three-dimensional Euclidean space for the Lagrange function of a system of several point particles in classical nonrelativistic mechanics.
The abstract of this article has been published in the "Intellectual Archive Bulletin" , June 2012, ISSN 1929-1329.
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