Semi-parallel CR submanifolds in a complex space form
Volume 124 / 2011
Colloquium Mathematicum 124 (2011), 237-246
MSC: Primary 53C40, 53C55; Secondary 53C25.
DOI: 10.4064/cm124-2-8
Abstract
We show that there is no proper CR submanifold with semi-flat normal connection and semi-parallel second fundamental form in a complex space form with non-zero constant holomorphic sectional curvature such that the dimension of the holomorphic tangent space is greater than $2$.
