Preprint A274/2004
Complete real Kähler Euclidean hypersurfaces are cylinders
Fangyang Zheng | Florit, Luis A.
Keywords: Complete Kahler Euclidean hypersurfaces | cylinder theorem
In this note we show that any complete Kahler (immersed) Euclidean hypersurface must be the product of a surface in Euclidean 3-space with an Euclidean factor. Abe proved this result under additional assumptions on the scalar curvature of the manifold.