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Seminar No.1607 Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space

Created Date 5/16/2018 福平   View Numbers  5 Return    
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Title: Minimal Integrity Bases of Invariants of Second Order Tensors in a Flat Riemannian Space
Reporter: Prof. Liqun Qi (Department of Mathematics The Hong Kong Polytechnic University)
Time: 2018-5-28 (Monday) 10:00
Place: G507

Abstract: In this talk, 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 Minkowski space and applications in electrodynamics, etc.

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