The CR immersion into a sphere with the degenerate CR Gauss map
Complex Variables
2018-06-26 v1
Abstract
It is a classical problem in algebraic geometry to characterize the algebraic subvariety by using the Gauss map. In this note, we try to develop the analogue theory in CR geometry. In particular, under some assumptions, we show that a CR map between spheres is totally geodesic if and only if the CR Gauss map of the image is degenerate.
Cite
@article{arxiv.1806.08961,
title = {The CR immersion into a sphere with the degenerate CR Gauss map},
author = {Wanke Yin and Yuan Yuan and Yuan Zhang},
journal= {arXiv preprint arXiv:1806.08961},
year = {2018}
}