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arXiv · 2008.03929

Isometric immersions with flat normal bundle between space forms

M. Dajczer·C. -R. Onti·Th. Vlachos
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Abstract

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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M. Dajczer, C. -R. Onti, Th. Vlachos. 2020-08-10. Isometric immersions with flat normal bundle between space forms. https://arxiv.org/abs/2008.03929

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