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Isometric immersions with flat normal bundle between space forms

Published 10 Aug 2020 in math.DG | (2008.03929v1)

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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Authors (3)

  1. M. Dajczer 
  2. C. -R. Onti 
  3. Th. Vlachos 

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