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Complete real Kahler submanifolds in codimension two

微分几何 2007-05-23 v1

摘要

Minimal isometric immersions F in codimension two from a complete Kahler manifold into Euclidean space had been classified for dimension greater than or equal to 3. In this note we describe the non--minimal situation by showing that, if F is real analytic but not everywhere minimal, then F is a cylinder over a real Kahler surface G in Euclidean 6-space. In addition, G can be further described.

关键词

引用

@article{arxiv.math/0612596,
  title  = {Complete real Kahler submanifolds in codimension two},
  author = {Luis A. Florit and Fangyang Zheng},
  journal= {arXiv preprint arXiv:math/0612596},
  year   = {2007}
}

备注

11 pages