Abstract.
In this article, we prove that a n–dimensional, non–positively curved Euclidean submanifold with codimension p and with minimal index of relative nullity \(\nu = n - 2p\) is (in an open dense subset) locally the product of p hypersurfaces.
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Received: October 21, 1997
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Florit, L., Zheng, F. On nonpositively curved Euclidean submanifolds: splitting results. Comment. Math. Helv. 74, 53–62 (1999). https://doi.org/10.1007/s000140050076
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DOI: https://doi.org/10.1007/s000140050076