CR-analogue of Siu-∂∂-formula and applications to rigidity problem for pseudo-Hermitian harmonic maps

Duong Ngoc Son, Song-Ying Li

Veröffentlichungen: Beitrag in FachzeitschriftArtikelPeer Reviewed

Abstract

We give several versions of Siu's ∂∂-formula for maps from a strictly pseudoconvex pseudo-Hermitian manifold (M2m+1, θ) into a Kähler manifold (Nn, g). We also define and study the notion of pseudo-Hermitian harmonicity for maps from M into N. In particular, we prove a CR version of the Siu Rigidity Theorem for pseudo-Hermitian harmonic maps from a pseudo-Hermitian manifold with vanishing Webster torsion into a Kähler manifold having strongly negative curvature.

OriginalspracheEnglisch
Seiten (von - bis)5141-5151
Seitenumfang11
FachzeitschriftProceedings of the American Mathematical Society
Jahrgang147
Ausgabenummer12
DOIs
PublikationsstatusVeröffentlicht - 2019

ÖFOS 2012

  • 101008 Funktionentheorie

Zitationsweisen