An Extension Theorem for Real Kahler Submanifolds in Codimension Four
Differential Geometry
2012-10-16 v1
Abstract
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 holomorphic hypersurface in another real Kahler submanifold of codimension 2. This generalizes a result of Dajczer and Gromoll in 1997 which states that any real Kahler submanifolds of codimension 3 and rank at least 4 admits a Kahler extension.
Keywords
Cite
@article{arxiv.1210.3772,
title = {An Extension Theorem for Real Kahler Submanifolds in Codimension Four},
author = {Jinwen Yan and Fangyang Zheng},
journal= {arXiv preprint arXiv:1210.3772},
year = {2012}
}
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23 pages