English

The holomorphic Gauss Parametrization

Differential Geometry 2008-09-08 v1

Abstract

We give a local parametric description of all holomorphic hypersurfaces in complex Euclidean and projective spaces with constant index of relative nullity, together with applications. This is a complex analogue to the parametrization for real hypersurfaces in Euclidean space known as the Gauss parametrization.

Keywords

Cite

@article{arxiv.0809.0904,
  title  = {The holomorphic Gauss Parametrization},
  author = {Marcos Dajczer and Luis A. Florit},
  journal= {arXiv preprint arXiv:0809.0904},
  year   = {2008}
}

Comments

9 pages

R2 v1 2026-06-21T11:17:05.168Z