Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Complex Plateau problem in non-Kähler manifolds

S. Ivashkovich — 1998

Annales Polonici Mathematici

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.

On nonimbeddability of Hartogs figures into complex manifolds

E. Chirka;  S. Ivashkovich — 2006

Bulletin de la Société Mathématique de France

We prove the impossibility of imbeddings of Hartogs figures into general complex manifolds which are close to an imbedding of an analytic disc attached to a totally real collar. Analogously we provide examples of the so called thin Hartogs figures in complex manifolds having no neighborhood biholomorphic to an open set in a Stein manifold.

Page 1

Download Results (CSV)