# Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space

@article{Qi2018MinimalIB, title={Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space}, author={Liqun Qi and Zhenghai Huang}, journal={arXiv: Mathematical Physics}, year={2018} }

In this paper, we study invariants of second order tensors in an $n$-dimensional flat Riemannian space. We define eigenvalues, eigenvectors and characteristic polynomials for second order tensors in such an $n$-dimensional Riemannian space and show that the coefficients of the characteristic polynomials are real polynomial invariants of that tensor. Then we give minimal integrity bases for second order symmetric and antisymmetric tensors, respectively, and study their special cases in the…

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