1 Riemannian metric tensor - NYU Courant

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the basic theory for the Riemannian metrics. 1 Riemannian metric tensor We start with a metric tensor g ijdx idxj: Intuition being, that given a vector with dxi= vi, this will give the length of the vector in our geometry. We require, that the metric tensor is symmetric g ij = g ji, or we consider only the symmetrized tensor. Also we need that g

  Metrics, Geometry, Tensor, Riemannian, Riemannian metric tensor, Metric tensor