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Strongly Pseudoconvex Spherical Tube Hypersurfaces

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2020)

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.

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Correspondence to Alexander Isaev .

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© 2011 Springer-Verlag Berlin Heidelberg

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Isaev, A. (2011). Strongly Pseudoconvex Spherical Tube Hypersurfaces. In: Spherical Tube Hypersurfaces. Lecture Notes in Mathematics(), vol 2020. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19783-3_5

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