Certain classes of multidimensional surfaces

The structure ofk-convex multidimensional surfaces in Euclidean space is studied. The classes ofk-asymptotic surfaces are introduced. A sufficient condition is found for an asymptotic distribution on a multidimensional surface to be holonomic.Translated from Ukrainskií Geometricheskií Sbornik, Issue 29, 1986, pp. 5–12.