View source for Adjoint surface

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A surface $Y$ that is in [[Peterson correspondence]] with a given surface $X$ and is, moreover, such that the [[asymptotic net]] on $Y$ corresponds to a conjugate net $\sigma$ on $X$ with equal invariants, and vice versa. The adjoint surface $Y$ is the [[rotation indicatrix]] for $X$, and vice versa. If $\sigma$ is a principal base for a [[Deformation over a principal base|deformation]] of $X$, then $Y$ is a [[Bianchi surface]].

[[Category:Geometry]]