Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

CR-analogue of the Siu-$\partial \overline {\partial }$-formula and applications to the rigidity problem for pseudo-Hermitian harmonic maps
HTML articles powered by AMS MathViewer

by Song-Ying Li and Duong Ngoc Son PDF
Proc. Amer. Math. Soc. 147 (2019), 5141-5151 Request permission

Abstract:

We give several versions of Siu’s $\partial \overline {\partial }$-formula for maps from a strictly pseudoconvex pseudo-Hermitian manifold $(M^{2m+1}, \theta )$ into a Kähler manifold $(N^n, g)$. 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.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 32Q05, 30Q15, 32V20
  • Retrieve articles in all journals with MSC (2010): 32Q05, 30Q15, 32V20
Additional Information
  • Song-Ying Li
  • Affiliation: Department of Mathematics, University of California, Irvine, California 92697 — and — School of Mathematics and CS, Fujian Normal University, Fujian, People’s Republic of China
  • MR Author ID: 228844
  • Email: sli@math.uci.edu
  • Duong Ngoc Son
  • Affiliation: Department of Mathematics, University of California, Irvine, California 92697
  • MR Author ID: 800658
  • Email: snduong@math.uci.edu
  • Received by editor(s): May 22, 2015
  • Published electronically: September 23, 2019
  • Communicated by: Lei Ni
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 5141-5151
  • MSC (2010): Primary 32Q05, 30Q15, 32V20
  • DOI: https://doi.org/10.1090/proc/12997
  • MathSciNet review: 4021076