Symmetric Covariant Tensor Fields of Order 2 on Pseudo–Riemannian Manifolds
نویسنده
چکیده
In this paper, we consider the component matrix of a symmetric covariant tensor field of order 2 on a pseudoRiemannian manifold relative to orthonormal frame. We prove that if the Jordan index of the tensor field is constant on a neighborhood, then there is a locally orthonormal frame field such that the component matrix of the tensor field has same simple form at each point in the neighborhood. With this we prove some theorems on Lorentz manifolds.
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