Mok-Siu-Yeung type formulas on contact locally sub-symmetric spaces

TL;DR

This paper develops Mok-Siu-Yeung type formulas for horizontal maps from contact locally sub-symmetric spaces to CR manifolds, leading to new rigidity theorems for pseudoharmonic maps.

Contribution

It introduces new formulas for horizontal maps in contact geometry and establishes rigidity results for pseudoharmonic maps from specific symmetric spaces.

Findings

Derived Mok-Siu-Yeung type formulas for horizontal maps

Established rigidity theorems for horizontal pseudoharmonic maps

Extended geometric analysis in contact and CR manifold contexts

Abstract

We derive Mok-Siu-Yeung type formulas for horizontal maps from compact contact locally sub-symmetric spaces into strictly pseudoconvex CR manifolds and we obtain some rigidity theorems for the horizontal pseudoharmonic maps.