Complex surfaces in $\mathbb{C}^4$ with recurrent shape operators
Volume 90 / 2007
Annales Polonici Mathematici 90 (2007), 265-276
MSC: Primary 53A15.
DOI: 10.4064/ap90-3-6
Abstract
We study complex affine surfaces in $\mathbb C^4$ with the transversal bundle defined by Nomizu and Vrancken. We classify the surfaces that have recurrent shape operators and parallel transversal metric.
