English

On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps

Differential Geometry 2010-12-03 v1

Abstract

In this paper, we show that one can interrelate pluriharmonic maps with para-pluriharmonic maps by means of the loop group method. As an appendix, we give examples for the interrelation between pluriharmonic maps and para-pluriharmonic maps. Moreover, we investigate the relation among CMC-surfaces by use of such maps.

Keywords

Cite

@article{arxiv.1012.0358,
  title  = {On a relation between potentials for pluriharmonic maps and para-pluriharmonic maps},
  author = {Nobutaka Boumuki and Josef Dorfmeister},
  journal= {arXiv preprint arXiv:1012.0358},
  year   = {2010}
}
R2 v1 2026-06-21T16:52:15.652Z