对偶平坦且具有迷向S-曲率的指数Finsler度量

Dually Flat Exponential Finsler Metric with Isotropic S-Curvature

研究了形如F=αexp(β/α)的指数Finsler度量,其中α=√a_(ij)(x)y^(i)y^(j)为黎曼度量,β=b_(i)(x)y^(i)为非零1-形式,得到了其为局部对偶平坦且具有迷向S-曲率的充要条件。

This paper studies exponential Finsler metric in the form of F=α exp(α/β),where α=√a_(ij)(x)y^(i)y^(j)is a Rieman-nian metric,β=b_(i)(x)y^(i) is a 1—form.The sufficient and necessary conditions for it to be locally dually flat and of isotropic S-curvature are obtained.