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2016 Characterizations of Umbilic Points of Isometric Immersions in Riemannian and Lorentzian Manifolds
Magdalena Caballero, Rafael María Rubio
Taiwanese J. Math. 20(5): 1041-1052 (2016). DOI: 10.11650/tjm.20.2016.7383

Abstract

Several characterizations of umbilic points of submanifolds in arbitrary Riemannian and Lorentzian manifolds are given. As a consequence, we obtain new characterizations of spheres in the Euclidean space and of hyperbolic spaces in the Lorentz-Minkowski space. We also prove the Lorentzian version of a classical result by Cartan.

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Magdalena Caballero. Rafael María Rubio. "Characterizations of Umbilic Points of Isometric Immersions in Riemannian and Lorentzian Manifolds." Taiwanese J. Math. 20 (5) 1041 - 1052, 2016. https://doi.org/10.11650/tjm.20.2016.7383

Information

Published: 2016
First available in Project Euclid: 1 July 2017

zbMATH: 1357.53065
MathSciNet: MR3555887
Digital Object Identifier: 10.11650/tjm.20.2016.7383

Subjects:
Primary: 53B20, 53B25, 53B30, 53C24

Rights: Copyright © 2016 The Mathematical Society of the Republic of China

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Vol.20 • No. 5 • 2016
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