Isometric Immersions with Singularities Between Space Forms of the Same Positive Curvature
Isometric Immersions with Singularities Between Space Forms of the Same Positive Curvature
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具有相同正曲率的空间形式之间具有奇点的等距浸没
DOI：
10.1007/s12220-017-9765-8
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Honda Atsufumi
中科院分区：
文献类型：
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作者：
A. Honda;M. Koiso;M. Kokubu;M. Umehara and Kotaro Yamada;栗原大武;Honda Atsufumi
本文给出了空间形式型相干切束的定义，这是空间形式的一个广义概念。然后，我们将它们在球体中的实现分类为波前，这是O 'Neill和Stiel定理的推广：任何等距浸入相同截面曲率的球体都是完全测地线。
In this paper, we give a definition ofcoherent tangent bundles of space form type, which is a generalized notion of space forms. Then, we classify their realizations in the sphere as a wave front, which is a generalization of a theorem of O’Neill and Stiel: any isometric immersion of then-sphere into the-sphere of the same sectional curvature is totally geodesic.