Open Access
2016 Umbilical surfaces of products of space forms
Jaime Orjuela, Ruy Tojeiro
Tohoku Math. J. (2) 68(3): 471-486 (2016). DOI: 10.2748/tmj/1474652269

Abstract

We give a complete classification of umbilical surfaces of arbitrary codimension of a product $\mathbb{Q}_{k_1}^{n_1}\times \mathbb{Q}_{k_2}^{n_2}$ of space forms whose curvatures satisfy $k_1+k_2\neq 0$.

Citation

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Jaime Orjuela. Ruy Tojeiro. "Umbilical surfaces of products of space forms." Tohoku Math. J. (2) 68 (3) 471 - 486, 2016. https://doi.org/10.2748/tmj/1474652269

Information

Received: 7 August 2014; Revised: 2 February 2015; Published: 2016
First available in Project Euclid: 23 September 2016

zbMATH: 1357.53062
MathSciNet: MR3550929
Digital Object Identifier: 10.2748/tmj/1474652269

Subjects:
Primary: 53B25
Secondary: 53C40

Keywords: Riemannian product of space forms , umbilical surfaces

Rights: Copyright © 2016 Tohoku University

Vol.68 • No. 3 • 2016
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