The $$\mu $$-Darboux transformation of minimal surfaces
The $$\mu $$-Darboux transformation of minimal surfaces
Abstract The classical notion of the Darboux transformation of isothermic surfaces can be generalised to a transformation for conformal immersions. Since a minimal surface is Willmore, we can use the associated $$\mathbb { C}_*$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>C</mml:mi><mml:mrow><mml:mrow /><mml:mo>∗</mml:mo></mml:mrow></mml:msub></mml:math> -family of flat connections of the harmonic conformal Gauss map to construct such …