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Isometric immersions with flat normal bundle between space forms
Archiv der Mathematik ( IF 0.5 ) Pub Date : 2021-01-06 , DOI: 10.1007/s00013-020-01565-x
Marcos Dajczer , Christos-Raent Onti , Theodoros Vlachos

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.

中文翻译:

空间形式之间具有扁平法线束的等距浸入

我们研究了将具有负曲率的空间形式等距浸入到空间形式中的第二个基本形式的行为,以便外在曲率是负的。如果浸入具有平坦的法向丛,我们证明它的第二个基本形式呈指数增长。
更新日期:2021-01-06
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