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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Dajczer, M., Onti, CR. & Vlachos, T. Isometric immersions with flat normal bundle between space forms. Arch. Math. 116, 577–583 (2021). https://doi.org/10.1007/s00013-020-01565-x
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DOI: https://doi.org/10.1007/s00013-020-01565-x