论文标题
Finsler几何形状中平均Berwald曲率的Schur类型引理
A Schur type lemma for the Mean Berwald curvature in Finsler geometry
论文作者
论文摘要
在这篇简短的论文中，我们研究了Finsler几何形状中的对称协变量张量，这称为平均Berwald曲率。我们首先将纤维的几何形状作为鳍片歧管上切线球的子束的子束。然后，我们证明，如果平均Berwald曲率是沿纤维各向同性的，那么Berwald标量曲率沿纤维持续。
In this short paper, we study a symmetric covariant tensor in Finsler geometry, which is called the mean Berwald curvature. We first investigate the geometry of the fibres as the submanifolds of the tangent sphere bundle on a Finsler manifold. Then we prove that if the mean Berwald curvature is isotropic along fibres, then the Berwald scalar curvature is constant along fibres.
