Geodesic
Projectively flat Finsler metrics with orthogonal invariance
Libing Huang1 ; Xiaohuan Mo2
1 School of Mathematical Sciences Nankai University Tianjin 300071, P.R. China
2 Key Laboratory of Pure and Applied Mathematics School of Mathematical Sciences Peking University Beijing 100871, P.R. China
Annales Polonici Mathematici, Tome 107 (2013) no. 3, pp. 259-270

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study Finsler metrics with orthogonal invariance. By determining an expression of these Finsler metrics we find a PDE equivalent to these metrics being locally projectively flat. After investigating this PDE we manufacture projectively flat Finsler metrics with orthogonal invariance in terms of error functions.
DOI : 10.4064/ap107-3-3
Keywords: study finsler metrics orthogonal invariance determining expression these finsler metrics pde equivalent these metrics being locally projectively flat after investigating pde manufacture projectively flat finsler metrics orthogonal invariance terms error functions

Libing Huang 1 ; Xiaohuan Mo 2

1 School of Mathematical Sciences Nankai University Tianjin 300071, P.R. China
2 Key Laboratory of Pure and Applied Mathematics School of Mathematical Sciences Peking University Beijing 100871, P.R. China 
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Libing Huang; Xiaohuan Mo. Projectively flat Finsler metrics with orthogonal invariance. Annales Polonici Mathematici, Tome 107 (2013) no. 3, pp. 259-270. doi: 10.4064/ap107-3-3

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