Pseudo-Riemannian manifold

In differential geometry, a pseudo-Riemannian manifold is a smooth manifold equipped with a smooth, symmetric, (0,2) tensor which is nondegenerate at each point on the manifold. This tensor is called a pseudo-Riemannian metric or, simply, a (pseudo-)metric tensor.

Related Topics:
Differential geometry - Smooth manifold - Tensor - Nondegenerate - Metric tensor

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