In this paper, we study some classes of submanifolds of codimension one and two in the Page space. These submanifolds are totally geodesic. We also compute their curvature and show that some of them are constant curvature spaces. Finally, we give information on how the Page space is related to some other metrics on the same underlying smooth manifold.

中文翻译：

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在页面空间的特殊子流形上

在本文中，我们研究了Page空间中余维一和二的子流形的某些类别。这些子流形完全是测地线。我们还计算了它们的曲率，并表明其中一些是恒定曲率空间。最后，我们提供有关页面空间如何与同一基础平滑流形上的其他一些度量相关的信息。