A splitting theorem for higher order parallel immersions
Differential Geometry
2012-07-02 v1
Abstract
We consider isometric immersions into space forms having the second fundamental form parallel at order k. 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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Cite
@article{arxiv.1103.1615,
title = {A splitting theorem for higher order parallel immersions},
author = {Ines Kath and Paul-Andi Nagy},
journal= {arXiv preprint arXiv:1103.1615},
year = {2012}
}
Comments
10 pages