Results 51 to 60 of about 3,934 (132)
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
, 2006 It is shown that the Ramadanov conjecture implies the Cheng conjecture.
C.R. Graham +16 more
core +1 more source
ENSEMBLES TOTALEMENT RÉELS ET DOMAINES PSEUDOCONVEXES
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1985 Main theorem: Let \(L\) be a connected Lie group, \(L'\subset L\) a closed subgroup, \(X\) a complex manifold, \(p: F\to X\) an analytic fiber space with fiber \(L/L'\); let \(D\) be a locally pseudoconvex domain in \(F\) such that there is an open \(G\subset X\) and a totally real submanifold \(M\) of \(G\), \(\dim_{\mathbb R} M =\dim_{\mathbb C} X\),
Hamada, Hidetaka, Kajiwara, Joji
openaire +3 more sources
Advances in Fuzzy Systems, Volume 2024, Issue 1, 2024.In this paper, we are thus motivated to define and introduce the extended fuzzy‐valued convex functions that can take the singleton fuzzy values −∞˜ and +∞˜ at some points. Such functions can be characterized using the notions of effective domain and epigraph.
T. Allahviranloo +7 more
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
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
doaj +1 more source
On Bergman completeness of non-hyperconvex domains
, 1999 We study the problem of the boundary behaviour of the Bergman kernel and the Bergman completeness in some classes of bounded pseudoconvex domains, which contain also non-hyperconvex domains.
Jarnicki, M., Pflug, P., Zwonek, W.
core
Compactness of commutators of Toeplitz operators on q-pseudoconvex domains
Electronic Journal of Differential Equations, 2018 Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \leq n-1$. If $\Omega$ is smooth, we find sufficient conditions for the $\overline\partial$-Neumann operator to be compact.
Sayed Saber
doaj
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