Complex Plateau problem in non-Kähler manifolds

S. Ivashkovich

Annales Polonici Mathematici (1998)

  • Volume: 70, Issue: 1, page 131-143
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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S. Ivashkovich. "Complex Plateau problem in non-Kähler manifolds." Annales Polonici Mathematici 70.1 (1998): 131-143. <http://eudml.org/doc/262589>.

@article{S1998,
abstract = {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.},
author = {S. Ivashkovich},
journal = {Annales Polonici Mathematici},
keywords = {meromorphic map; continuity principle; Hartogs extension theorem; spherical shell; complex Plateau problem; continuation of analytic objects; pluriclosed Hermitian metric; disk-convex complex space},
language = {eng},
number = {1},
pages = {131-143},
title = {Complex Plateau problem in non-Kähler manifolds},
url = {http://eudml.org/doc/262589},
volume = {70},
year = {1998},
}

TY - JOUR
AU - S. Ivashkovich
TI - Complex Plateau problem in non-Kähler manifolds
JO - Annales Polonici Mathematici
PY - 1998
VL - 70
IS - 1
SP - 131
EP - 143
AB - 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.
LA - eng
KW - meromorphic map; continuity principle; Hartogs extension theorem; spherical shell; complex Plateau problem; continuation of analytic objects; pluriclosed Hermitian metric; disk-convex complex space
UR - http://eudml.org/doc/262589
ER -

References

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  9. [Iv-2] S. Ivashkovich, Continuity principle and extension properties of meromorphic mappings with values in non Kähler manifolds MSRI Preprint No. 1997-033, xxx.math-archive: math.CV/9704219. 
  10. [Iv-3] S. Ivashkovich, One example in concern with extension and separate analyticity properties of meromorphic mappings xxx.math-archive: math.CV/9804009, to appear in Amer. J. Math. 
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