Group-Invariant CR maps of the sphere $\mathbb{S}^5$

TL;DR

This paper constructs group-invariant CR maps from the 5-sphere in complex 3-space and establishes precise bounds for when these maps become trivial, advancing understanding of symmetry in CR geometry.

Contribution

It introduces new group-invariant CR maps of the sphere and determines sharp bounds for gap termination, a key aspect in CR mapping theory.

Findings

Construction of explicit group-invariant CR maps.

Sharp bounds for gap termination in these maps.

Enhanced understanding of symmetry in CR geometry.

Abstract

We construct group-invariant CR maps from the unit sphere in $\mathbb{C}^3$ and provide sharp bounds for the gap termination in this setting.