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1 results on '"Invariant polynomial"'

1. Invariant fourth root Finsler metrics on the Grassmannian manifolds

Author

Hu, Zhiguang and Deng, Shaoqiang

Subjects
*INVARIANTS (Mathematics), *FINSLER spaces, *GRASSMANN manifolds, *POLYNOMIALS, *LIE groups, *MATHEMATICAL analysis, *GEOMETRIC analysis
Abstract

Abstract: Fourth root metrics are a special and important class of Finsler metrics, which have been applied to physics. In this paper, we study invariant fourth root Finsler metrics on the Grassmannian manifolds . By using the results from the theory of invariant polynomials of Lie groups, we obtain a complete classification of such metrics. Further, some invariant -th root Finsler metrics are also given. [ABSTRACT FROM AUTHOR]

Published
2011
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