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Unit vector fields on spheres, which are harmonic maps

โœ Scribed by Dong-Soong Han; Jin-Whan Yim


Publisher
Springer-Verlag
Year
1998
Tongue
French
Weight
118 KB
Volume
227
Category
Article
ISSN
0025-5874

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We show that the geodesic flow vector field on the unit tangent sphere bundle of a two-point homogeneous space is both minimal and harmonic and determines a harmonic map. For a complex space form, we exhibit additional unit vector fields on the unit tangent sphere bundle with those properties. We fi

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The stability of the three-dimensional Hopf vector field, as a harmonic section of the unit tangent bundle is viewed from a number of different angles. The spectrum of the vertical Jacobi operator is computed, and compared with that of the Jacobi operator of the identity map on the 3-sphere. The var