We consider Finsler submanifolds $M^n$ of nonnegative Ricci curvature in a Minkowski space $\mathbb{M}^{n+p}$ which contain a line or whose relative nullity index is positive. For hypersurfaces, submanifolds of codimension two or of dimension two, we prove that the submanifold is a cylinder, under a certain condition on the inertia of the pencil of the second fundamental forms. We give an example of a surface of positive flag curvature in a three-dimensional Minkowski space which is not locally convex.

中文翻译：

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关于闵可夫斯基空间中非负 Ricci 曲率子流形的圆柱度

我们考虑 Minkowski 空间 $\mathbb{M}^{n+p}$ 中非负 Ricci 曲率的 Finsler 子流形 $M^n$，其中包含一条线或其相对无效指数为正。对于超曲面、二维或二维的子流形，我们证明子流形在第二基本形式的铅笔惯性的特定条件下是圆柱体。我们给出了一个非局部凸的三维 Minkowski 空间中正旗曲率表面的例子。