Support functions for convex domains of finite type
Let \(D\subset\subset \mathbb{C}^{n}\) be a smoothly bounded convex domain of finite type. The authors construct a smooth family of supporting hypersurfaces with optimal orders of contact in all real directions. See also the paper by the authors and \textit{B. Fischer} [Math. Z. 232, No. 1, 43--61 (1999; Zbl 0932.32008)].
scientific article; zbMATH DE number 1336817