This paper deals with locally constrained inverse curvature flows in a broad class of Riemannian warped spaces. For a certain class of such flows we prove long time existence and smooth convergence to a radial coordinate slice. In the case of two-dimensional surfaces and a suitable speed, these flows enjoy two monotone quantities. In such cases new Minkowski type inequalities are the consequence. In higher dimensions we use the inverse mean curvature flow to obtain new Minkowski inequalities when the ambient radial Ricci curvature is constantly negative.

中文翻译：

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翘曲空间中的闵可夫斯基不等式和约束逆曲率流

本文讨论了一类广泛的黎曼扭曲空间中的局部约束反曲率流。对于某一类这样的流，我们证明了长期存在并且平滑收敛到径向坐标切片。在二维表面和合适的速度的情况下，这些流动有两个单调量。在这种情况下，结果是新的 Minkowski 类型的不等式。在更高维度中，当环境径向 Ricci 曲率始终为负时，我们使用逆平均曲率流来获得新的 Minkowski 不等式。