论文标题

在空间形式之间具有平坦正常束的等距浸入

Isometric immersions with flat normal bundle between space forms

论文作者

Dajczer, M., Onti, C. -R., Vlachos, Th.

论文摘要

我们研究了静态曲率的空间形式的第二基本形式的行为,使外部曲率为阴性。如果浸入式束扁平束,我们证明其第二种基本形式将成倍增长。

We investigate the behavior of the second fundamental form of an isometric immersion of a space form with negative curvature into a space form so that the extrinsic curvature is negative. If the immersion has flat normal bundle, we prove that its second fundamental form grows exponentially.

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