Geodesic
On Some Explicit Constructions of Finsler Metrics with Scalar Flag Curvature
Canadian journal of mathematics, Tome 62 (2010) no. 6, pp. 1325-1339

Voir la notice de l'article provenant de la source Cambridge University Press

We give an explicit construction of polynomial (of arbitrary degree) $(\alpha ,\,\beta )$ -metrics with scalar flag curvature and determine their scalar flag curvature. These Finsler metrics contain all nontrivial projectively flat $(\alpha ,\,\beta )$ -metrics of constant flag curvature.
DOI : 10.4153/CJM-2010-051-7
Mots-clés : 58E20, Finsler metric, scalar curvature, projective flatness 
Mo, Xiaohuan; Yu, Changtao. On Some Explicit Constructions of Finsler Metrics with Scalar Flag Curvature. Canadian journal of mathematics, Tome 62 (2010) no. 6, pp. 1325-1339. doi: 10.4153/CJM-2010-051-7
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