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Unit Vector Fields that are Critical Points of the Volume and of the Energy: Characterization and Examples

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Complex, Contact and Symmetric Manifolds

Part of the book series: Progress in Mathematics ((PM,volume 234))

Summary

In the last few years, many works have appeared containing examples and general results on harmonicity and minimality of vector fields in different geometrical situations. This survey will be devoted to describe many of the known examples, as well as the general results from where they are obtained.

Supported by projects BFM2001-3548 (DGI, Spain) and AVCiT, Grupos03/169 (Generalitat Valenciana)

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Authors and Affiliations

  1. Departament de Geometria i Topologia, Universitat de València, 46100, Burjassot, Valencia, Spain

    Olga Gil-Medrano

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  1. Olga Gil-Medrano
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Editors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University, 186 75, Praha, Czech Republic

    Oldřich Kowalski

  2. Dipartimento di Matematica Pura ed Applicata, Università di L’Aquila, 67100, L’Aquila, Italy

    Emilio Musso

  3. Dipartimento di Matematica “E. De Giorgi”, Università degli Studi di Lecce, 73100, Lecce, Italy

    Domenico Perrone

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Dedicated to Professor Lieven Vanhecke

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Gil-Medrano, O. (2005). Unit Vector Fields that are Critical Points of the Volume and of the Energy: Characterization and Examples. In: Kowalski, O., Musso, E., Perrone, D. (eds) Complex, Contact and Symmetric Manifolds. Progress in Mathematics, vol 234. Birkhäuser Boston. https://doi.org/10.1007/0-8176-4424-5_12

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