Energy of radial vector fields on compact rank one symmetric spaces

DOI10.1023/A:1021259000387zbMath1035.53071OpenAlexW74961388MaRDI QIDQ1868402

Eric Boeckx, José Carmelo González-Dávila, Lieven Vanhecke

Publication date: 27 April 2003

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1021259000387

zbMATH Keywords

energy and total bending of a unit vector fieldharmonic unit vector fieldsradial unit vector fields on compact rank one symmetric spacesunit vector fields with singularities

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20) Harmonic maps, etc. (58E20) Differential geometry of symmetric spaces (53C35)

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Energy of generalized distributions, ENERGY OF GLOBAL FRAMES, Harmonicity and minimality of complex and quaternionic radial foliations, Lower estimates for the first eigenvalue of the Laplace operator on doubly connected domains in a Riemannian manifold