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.

Anexos:

• kahlerhyper.dvi