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arXiv:1310.2652 [math.DG]AbstractReferencesReviewsResources

Umbilical surfaces of products of space forms

Jaime Orjuela, Ruy Tojeiro

Published 2013-10-09, updated 2015-02-26Version 3

We give a complete classification of umbilical surfaces of arbitrary codimension of a product $Q^{n_1}_{k_1}\times Q^{n_2}_{k_2}$ of space forms whose curvatures satisfy $k_1 + k_2 \not= 0$.

Comments: 19 pages. To appear in Tohoku Mathematical Journal
Categories: math.DG
Subjects: 53C40, 53C42, 53B25
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