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Isometric immersions with flat normal bundle between space forms

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arxiv 2008.03929 v1 pith:TCV5K7H7 submitted 2020-08-10 math.DG

M. Dajczer , C.-R. Onti , Th. Vlachos This is my paper · ORCID
classification math.DG
keywords formspacebundlecurvatureflatfundamentalimmersionisometric
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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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    physics.geo-ph 2024-11 unverdicted novelty 2.0 of 10

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