Surfaces in Rⁿ²⁻¹ based on harmonic maps S²→ CPⁿ⁻¹

الأصل · EN

We show that many surfaces in ⁿ²⁻¹ can be generated by harmonic maps of S²→ CPⁿ⁻¹. These surfaces are based on the projectors in CPⁿ⁻¹ which describe maps of S²→ CPⁿ⁻¹. In the case when these maps form the Veronese sequence all the surfaces have constant curvature.