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math.DG2012
A Dajczer-Rodriguez Type Cylinder Theorem for Real Kahler Submanifolds
Jinwen Yan, Fangyang Zheng
In 1991, Dajczer and Rodriguez proved in [10] that a complete minimal real Kahler submanifold of codimension 2, if with complex dimension > 2, would be either holomorphic, or a cyl…
math.DG2012
An Extension Theorem for Real Kahler Submanifolds in Codimension Four
Jinwen Yan, Fangyang Zheng
In this article, we prove a Kahler extension theorem for real Kahler submanifolds of codimension 4 and rank at least 5. Our main theorem states that such a manifold is a holomorphi…