Results 51 to 60 of about 1,815 (105)
Closed 3‐forms in five dimensions and embedding problems
Journal of the London Mathematical Society, Volume 109, Issue 4, April 2024.Abstract We consider the question if a five‐dimensional manifold can be embedded into a Calabi–Yau manifold of complex dimension 3 such that the real part of the holomorphic volume form induces a given closed 3‐form on the 5‐manifold. We define an open set of 3‐forms in dimension five which we call strongly pseudoconvex, and show that for closed ...
Simon Donaldson, Fabian Lehmann
wiley +1 more source
Solutions to $ar{partial}$-equations on strongly pseudo-convex domains with $L^p$-estimates
Electronic Journal of Differential Equations, 2004 We construct a solution to the $ar{partial}$-equation on a strongly pseudo-convex domain of a complex manifold. This is done for forms of type $(0,s)$, $sgeq 1 $, with values in a holomorphic vector bundle which is Nakano positive and for complex valued ...
Osama Abdelkader, Shaban Khidr
doaj
The Automorphism Group of a Domain with an Exponentially Flat Boundary Point [PDF]
, 2010 We study the automorphisms group action on a bounded domain in $\CC^n$ having a boundary point that is exponentially flat. Such a domain typically has a compact automorphism group.
Krantz, Steven G.
core
Applied Computational Intelligence and Soft Computing, Volume 2024, Issue 1, 2024.Artificial neural networks (ANNs) are widely used machine learning techniques with applications in various fields. Heuristic search optimization methods are typically used to minimize the loss function in ANNs. However, these methods can lead the network to become stuck in local optima, limiting performance.
Taninnuch Lamjiak +5 more
wiley +1 more source
Manifolds of holomorphic mappings from strongly pseudoconvex domains [PDF]
Asian Journal of Mathematics, 2007 Let D be a bounded strongly pseudoconvex domain in a Stein manifold S and let Y be a complex manifold. We prove that the graph of any continuous map from the closure of D to Y which is holomorphic in D admits a basis of open Stein neighborhoods in S x Y.
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Admissible limits of bloch functions on bounded strongly pseudoconvex domains [PDF]
Bulletin of the Australian Mathematical Society, 1996 Let be a bounded strongly pseudoconvex domain with C2 boundary . In this paper we prove that for a Bloch function in the existance of radial limits at almost all implies the existence of admissible limits almost everywhere on .
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The Wong-Rosay type theorem for K\"ahler manifolds
, 2014 The Wong-Rosay theorem characterizes the strongly pseudoconvex domains of $\mathbb{C}^n$ by their automorphism groups. It has a lot of generalizations to other kinds of domains (for example, the weakly pseudoconvex domains). However, most of them are for
Liu, Bingyuan
core
Some Characterizations of Bloch Functions on Strongly Pseudoconvex Domains
Tokyo Journal of Mathematics, 1994 This paper contains 3 characterisations of Bloch functions on smoothly bounded, strongly pseudoconvex domains in terms of invariant geometry, Bergman-Carleson measures and certain invariant random processes, respectively. This involves extending and modifying earlier work by \textit{J. Choa}, \textit{H. Kim} and \textit{Y. Park} [Bull. Korean Math. Soc.
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Fredholm operators associated with strongly pseudoconvex domains in Cn
Journal of Functional Analysis, 1972 This paper generalizes the index theorem of Gohberg and Krien on Weiner-Hopf operators on the unit circle. Let Ω be a strongly pseudoconvex domain in Cn and suppose L2N(Ω) is the space of square integrable functions ƒ: Ω → CN. Let H2N(Ω) be the subspace of all ƒ ϵ L2N(Ω) which are holomorphic in Ω and let P: L2N(Ω) → H2N(Ω) be the orthogonal projection.
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Worm Domains are not Gromov Hyperbolic. [PDF]
J Geom Anal, 2023 Arosio L, Dall'Ara GM, Fiacchi M.
europepmc +1 more source