We consider the complex Plateau problem for strongly pseudoconvex contours in non-Kähler manifolds. We give a necessary and sufficient condition for the existence of solution in the class of manifolds carrying pluriclosed metric forms and propose a conjecture for the general case.
@article{bwmeta1.element.bwnjournal-article-apmv70z1p131bwm,
author = {S. Ivashkovich},
title = {Complex Plateau problem in non-K\"ahler manifolds},
journal = {Annales Polonici Mathematici},
volume = {69},
year = {1998},
pages = {131-143},
zbl = {0929.32010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv70z1p131bwm}
}
S. Ivashkovich. Complex Plateau problem in non-Kähler manifolds. Annales Polonici Mathematici, Tome 69 (1998) pp. 131-143. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv70z1p131bwm/
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