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

arXiv:1012.0358

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.