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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© 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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DOI: https://doi.org/10.1007/978-3-642-19783-3_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19782-6
Online ISBN: 978-3-642-19783-3
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