Results 51 to 60 of about 1,826 (101)
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
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
Boundary Schwarz Lemma for Holomorphic Self-mappings of Strongly Pseudoconvex Domains [PDF]
Complex Analysis and Operator Theory, 2016 In this paper, we generalize a recent work of Liu et al. from the open unit ball $\mathbb B^n$ to more general bounded strongly pseudoconvex domains with $C^2$ boundary. It turns out that part of the main result in this paper is in some certain sense just a part of results in a work of Bracci and Zaitsev. However, the proofs are significantly different:
Wang, Xieping, Ren, Guangbin
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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
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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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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Worm Domains are not Gromov Hyperbolic. [PDF]
J Geom Anal, 2023 Arosio L, Dall'Ara GM, Fiacchi M.
europepmc +1 more source
The Bulk-Boundary Correspondence for the Einstein Equations in Asymptotically Anti-de Sitter Spacetimes. [PDF]
Arch Ration Mech Anal, 2023 Holzegel G, Shao A.
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Some characterizations of Bloch functions on strongly pseudoconvex domains [PDF]
Colloquium Mathematicum, 1992 The main result of the paper is the following theorem. Let \(D\) be a strongly pseudoconvex domain in \(\mathbb{C}^ n\) with defining function \(\rho\). Let \(F_ K^ D\), \(d_ K\) denote the Kobayashi-Royden metric and the Kobayashi distance for \(D\), respectively. Put \(B_ K(q,r):=\{z\in D\): \(d_ K(q,z)
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