Five-Dimensional Tangent Vectors in Space-Time: III. Some Applications

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dc.creatorKrasulin, Alexander
dc.date1998-07-07
dc.date.accessioned2026-07-07T04:32:26Z
dc.date.available2026-07-07T04:32:26Z
dc.descriptionIn 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.
dc.descriptionFull version of math-ph/9804011, 12 pages, no figures, LaTex
dc.identifierhttps://arxiv.org/abs/math-ph/9807004
dc.identifierhttp://arxiv.org/abs/math-ph/9807004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58192
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleFive-Dimensional Tangent Vectors in Space-Time: III. Some Applications
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