Results 31 to 40 of about 364 (148)
A Characterization of Weak Pseudoconvexity [PDF]
Proceedings of the American Mathematical Society, 1989 It is proved that a smooth domain D D of
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A smooth pseudoconvex domain without pseudoconvex exhaustion
Manuscripta Mathematica, 1982 A pseudoconvex demain with real —analytic smooth boundary on a complex manifold is constructed which cannot be exhausted by pseudoconvex domains.
Diederich, Klas, Fornaess, John Erik
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Efficient optimization for L infinity-problems using pseudoconvexity [PDF]
, 2007 In this paper we consider the problem of solving geometric reconstruction problems with the L ∞-norm. Previous work has shown that globally optimal solutions can be computed reliably for a series of such problems.
Fredrik Kahl +10 more
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Commentarii Mathematici Helvetici, 1992 Folgendes Problem wird diskutiert: gibt es zu jedem Punkt \(z^ 0\) eines Gebietes \(G\Subset\mathbb{C}^ N\) \((N\geq 2)\) und zu jeder Richtung \(X\in\mathbb{C}^ N\), \(X\neq 0\), eine eigentliche holomorphe Abbildung \(F:\Delta\to G\) mit: \(F(0)=z^ 0\) und \(F'(0)=\lambda X\), \(\lambda>0\); \(\Delta\) bezeichne hier den offenen Einheitskreis der ...
Forstneric, Franc, Globevnik, Josip
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Pseudoconvexity and Steinness of Connected Complex Lie Groups: A Concise Lie-Theoretic Approach
GeometryWe give new concise Lie-theoretic proofs of basic analytic–geometric properties of connected complex Lie groups. Using Matsushima’s biholomorphic splitting G≃Cn×K˜ together with a refined analysis of the center via its Cousin factor, we show that every ...
Abdel Rahman Al-Abdallah
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The Levi problem in ℂn: a survey [PDF]
Surveys in Mathematics and its Applications, 2016 We discuss domains of holomorphy and several notions of pseudoconvexity (drawing parallels with the corresponding concepts from geometric convexity), and present a mostly self-contained solution to the Levi problem.
Harry J. Slatyer
doaj
Pseudoconvexity at infinity in Hodge theory: a codimension one example
, 2023 The generalization of the Satake--Baily--Borel compactification to arbitrary period maps has been reduced to a certain extension problem on certain "neighborhoods at infinity". Extension problems of this type require that the neighborhood be pseudoconvex.
Robles, Colleen
core
A geometrical insight on pseudoconvexity and pseudomonotonicity [PDF]
Mathematical Programming, 2009 Generalised convexity is revisited from a geometrical point of view. A substitute to the subdifferential is proposed. Then generalised monotonicity is considered. A representation of generalised monotone maps allows to obtain a symmetry between maps and their inverses. Finally, maximality of generalised monotone maps is analysed.
Jean-Pierre Crouzeix +2 more
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A Sheaf‐Theoretic CR Reduction for Levi‐Flat Manifolds Beyond the Kähler Setting
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.This paper develops a sheaf‐theoretic reduction formalism for real‐analytic homogeneous CR manifolds realized as orbits in complex homogeneous manifolds. Let M = G0/H0 be such a CR manifold, let M↪X be a complex realization, and let π : X⟶Y be the holomorphic reduction of the ambient complex manifold.
Abdel Rahman Al-Abdallah, Shikha Binwal
wiley +1 more source
Compactness of the Complex Green Operator on C1 Pseudoconvex Boundaries in Stein Manifolds
MathematicsWe study compactness for the complex Green operator Gq associated with the Kohn Laplacian □b on boundaries of pseudoconvex domains in Stein manifolds. Let Ω⋐X be a bounded pseudoconvex domain in a Stein manifold X of complex dimension n with C1 boundary.
Abdullah Alahmari +4 more
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