Proceedings of the American Mathematical Society

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A splitting theorem for higher order parallel immersions

Authors: Ines Kath and Paul-Andi Nagy
Journal: Proc. Amer. Math. Soc. 140 (2012), 2873-2882
MSC (2010): Primary 53B21, 53C42
Posted: December 19, 2011
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Abstract | References | Similar Articles | Additional Information

Abstract: We consider isometric immersions into space forms having the second fundamental form parallel at order . We show that this class of immersions consists of local products, in a suitably defined sense, of parallel immersions and normally flat immersions of flat spaces.

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