On harmonic and pseudoharmonic maps from strictly pseudoconvex CR manifolds

TL;DR

This paper establishes rigidity, basicity, and pluriharmonicity results for harmonic and pseudoharmonic maps originating from CR manifolds into Riemannian or Kähler manifolds, extending classical results in the field.

Contribution

It provides new rigidity and pluriharmonicity theorems for harmonic and pseudoharmonic maps from CR manifolds, generalizing existing results to broader geometric contexts.

Findings

Rigidity results for harmonic and pseudoharmonic maps

Basicity and pluriharmonicity theorems established

Extensions of Siu-Sampson type results

Abstract

In this paper, we give some rigidity results for both harmonic and pseudoharmonic maps from CR manifolds into Riemannian manifolds or Kahler manifolds. Some basicity, pluriharmonicity and Siu-Sampson type results are established for both harmonic maps and pseudoharmonic maps.