The Gluck and Ziller problem with the euclidean metric
Séminaire de théorie spectrale et géométrie, Volume 22 (2003-2004), pp. 83-92. 
@article{TSG_2003-2004__22__83_0,
     author = {Vincent Borrelli},
     title = {The {Gluck} and {Ziller} problem with the euclidean metric},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     pages = {83--92},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {22},
     year = {2003-2004},
     zbl = {1073.53081},
     mrnumber = {2136137},
     language = {en},
     url = {https://tsg.centre-mersenne.org/item/TSG_2003-2004__22__83_0/}
}
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Vincent Borrelli. The Gluck and Ziller problem with the euclidean metric. Séminaire de théorie spectrale et géométrie, Volume 22 (2003-2004), pp. 83-92. https://tsg.centre-mersenne.org/item/TSG_2003-2004__22__83_0/

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[2] B.-Y. Chen, Riemannian submanifolds, Handbook of Differential Geometry, Vol 1, 2000, Elsevier. | MR | Zbl

[3] O. Gil-Medrano Volume and Energy of vector fields on spheres. A survey, Differential Geometry,Valencia 2001,167-178,World Sci. Publishing, River Edge,NJ2002. | MR | Zbl

[4] O. Gil-Medrano Unit vector fields that are critical points of the volume and the energy : characterization and examples, to appear in Complex, contact and symmetric spaces : papers in honour of Lieven Vanheche. Progress in Math. Birkhauser. | MR | Zbl

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[6] H. Gluck AND W. Ziller, On the volume of a unit vector field on the three-sphere, Comment Math. Helv. 61 ( 1986), 177-192. | MR | Zbl