Document Type
Article
Publication Title
Differential Geometry and its Application
Abstract
Let M3⊂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 fractional linear transformation. The surfaces for which these forms are constant multiples of each other were identified in previous work, but when the constant had unit modulus there was a global requirement. Here we give a local characterization of hypersurfaces for which the constant has unit modulus.
First Page
77
Last Page
83
DOI
10.1016/j.difgeo.2015.07.002
Publication Date
10-1-2015
Recommended Citation
Bolt, Michael, "Local characterization of a class of ruled hypersurfaces in C2" (2015). University Faculty Publications and Creative Works. 199.
https://digitalcommons.calvin.edu/calvin_facultypubs/199