Skew Symmetric Bundle Maps on Space-Time
Abstract
Description
We study the "Lie Algebra" of the group of Gauge Transformations of Space-time. We obtain topological invariants arising from this Lie Algebra. Our methods give us fresh mathematical points of view on Lorentz Transformations, orientation conventions, the Doppler shift, Pauli matrices , Electro-Magnetic Duality Rotation, Poynting vectors, and the Energy Momentum Tensor $T$ .
24 pages, Also found at URL http://www.math.purdue.edu:80/~gottlieb/Papers/papers.html/skewop.ps
24 pages, Also found at URL http://www.math.purdue.edu:80/~gottlieb/Papers/papers.html/skewop.ps