Minimal and Harmonic Unit Vector Fields inand Its Dual Space

Harmonic and minimal vector fields on ta

Harmonic and minimal vector fields on tangent and unit tangent bundles

✍ E. Boeckx; L. Vanhecke 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 123 KB

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