English

On The Non-Existence of CR-Regular Embeddings of $S^5$

Complex Variables 2018-11-08 v6

Abstract

In this article, we show that there exists no CR-regular embedding of the 5-sphere S5S^5 into C4\mathbb{C}^4, and also obtain analogous results for embeddings of higher dimensional spheres into complex space.

Keywords

Cite

@article{arxiv.1607.02384,
  title  = {On The Non-Existence of CR-Regular Embeddings of $S^5$},
  author = {Ali M. Elgindi},
  journal= {arXiv preprint arXiv:1607.02384},
  year   = {2018}
}

Comments

Formal version published in Complex Variables and Elliptic Equations