Document Type
Article
Publication Title
Proceedings of the American Mathematical Society
Abstract
Let M3 S C2 be a three times differentiable real hypersurface. The Levi form of M transforms under biholomorphism, and when restricted to the complex tangent space, the skew-Hermitian part of the second fundamental form transforms under Möbius transformations. The surfaces for which these forms are constant multiples of each other were identified in previous work, provided the constant is not unimodular. Here it is proved that if the surface is assumed to be complete and if the constant is unimodular, then the surface is tubed over a strongly convex curve. The converse statement is true, too, and is easily proved.
First Page
2771
Last Page
2777
DOI
10.1090/S0002-9939-10-10449-3
Publication Date
8-1-2010
Recommended Citation
Bolt, Michael, "A global characterization of tubed surfaces in ℂ2" (2010). University Faculty Publications and Creative Works. 363.
https://digitalcommons.calvin.edu/calvin_facultypubs/363