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Three-Dimensional Rotation Matrices
scipp.ucsc.eduLikewise, the ni are components of a vector (equivalently, a first-rank tensor). Two other important quantities for the analysis are the invarianttensors δij (the Kronecker delta) and ǫijk (the Levi-Civita tensor). If we invoke the covariance of tensor equations, then one must be able to express Rij in terms of a second-rank tensor composed ...
The Levi-Civita tensor - Utah State University
www.physics.usu.eduThe Levi-Civita tensor October 25, 2012 In 3-dimensions, we define the Levi-Civita tensor, "ijk, to be totally antisymmetric, so we get a minus ...