Strongly Pseudoconvex Spherical Tube Hypersurfaces

Abstract

In this chapter we obtain an explicit classification of closed strongly pseu- doconvex spherical tube hypersurfaces in ℂⁿ⁺¹ up to affine equivalence. This clas- sification was originally discovered by Dadok and Yang in 1985. We proceed as outlined in Chapter 4 by considering all possible defining systems. Observe that in this case the matrix Н is positive-definite (we always assume Н = In), thus defining systems of type II do not occur. Our arguments generally differ from those by Dadok and Yang.