Open Access
Winter 2003 Harmonic and minimal unit vector fields on Riemannian symmetric spaces
Jürgen Berndt, Lieven Vanhecke, László Verhóczki
Illinois J. Math. 47(4): 1273-1286 (Winter 2003). DOI: 10.1215/ijm/1258138104

Abstract

We present new examples of harmonic and minimal unit vector fields on Riemannian symmetric spaces. These examples are constructed from cohomogeneity one actions with a reflective singular orbit. The radial unit vector field associated to such a reflective submanifold is harmonic and minimal.

Citation

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Jürgen Berndt. Lieven Vanhecke. László Verhóczki. "Harmonic and minimal unit vector fields on Riemannian symmetric spaces." Illinois J. Math. 47 (4) 1273 - 1286, Winter 2003. https://doi.org/10.1215/ijm/1258138104

Information

Published: Winter 2003
First available in Project Euclid: 13 November 2009

MathSciNet: MR2037003
zbMATH: 1045.53036
Digital Object Identifier: 10.1215/ijm/1258138104

Subjects:
Primary: 53C35
Secondary: 53C20 , 57S15

Rights: Copyright © 2003 University of Illinois at Urbana-Champaign

Vol.47 • No. 4 • Winter 2003
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