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A generalization of Stein manifolds
European Journal of Mathematics, 2022 We define and study m-Stein manifolds which are generalizations of Stein manifolds by using m-subharmonic functions on a non-compact Kähler manifold. We prove that for a non-compact weakly m-complete manifold M, it contains no compact m-local maximum set
Günyüz, Ozan, Ozan Günyüz
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A NEW FORMULA WITHOUT BOUNDARY INTEGRALS ON A STEIN MANIFOLD
Acta Mathematica Scientia, 2003 A new Koppelman-Leray-Norguet formula of (p, q) differential forms for a strictly pseudoconvex polyhedron with not necessarily smooth boundary on a Stein manifold is obtained, and an integral representation for the solution of partial derivative-equation
Qiu, C. H., 邱春晖
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Stein 4-manifolds with boundary and contact structures
Topology and Its Applications, 1998 We discuss several applications of Seiberg-Witten theory in conjunction with an embedding theorem (proved elsewhere) for complex 2-dimensional Stein manifolds with boundary.
Lisca, P. +3 more
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Improving cloud type classification of ground-based images using region covariance descriptors [PDF]
Atmospheric Measurement Techniques, 2021 The distribution and frequency of occurrence of different cloud types affect the energy balance of the Earth. Automatic cloud type classification of images continuously observed by the ground-based imagers could help climate researchers find the ...
Y. Tang +7 more
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Ramified cover of varieties with nef cotangent bundle
Comptes Rendus. Mathématique, 2022 We construct examples to show that having nef cotangent bundle is not preserved under finite ramified covers. Our examples also show that a projective manifold with Stein universal cover may not have nef cotangent bundle, disproving a conjecture of Liu ...
Wang, Yiyu
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Learning Kernel Stein Discrepancy for Training Energy-Based Models
Applied Sciences, 2023 The primary challenge in unsupervised learning is training unnormalized density models and then generating similar samples. Few traditional unnormalized models know what the quality of the trained model is, as most models are evaluated by downstream ...
Lu Niu, Shaobo Li, Zhenping Li
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Some inequalities on Riemannian manifolds linking Entropy, Fisher information, Stein discrepancy and Wasserstein distance [PDF]
, 2023 peer reviewedFor a complete connected Riemannian manifold M let V∊ C^2(M) be such that µ(dx)=exp(-V(x))vol(dx) is a probability measure on M. Taking µ as reference measure, we derive inequalities for probability measures on M linking relative entropy ...
Cheng, Li-Juan +2 more
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Multiple Kernel Stein Spatial Patterns for the Multiclass Discrimination of Motor Imagery Tasks
Applied Sciences, 2020 Brain–computer interface (BCI) systems communicate the human brain and computers by converting electrical activity into commands to use external devices.
Steven Galindo-Noreña +2 more
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Remote Sensing, 2015 Normally, polarimetric SAR classification is a high-dimensional nonlinear mapping problem. In the realm of pattern recognition, sparse representation is a very efficacious and powerful approach.
Fan Yang, Wei Gao, Bin Xu, Jian Yang
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The union problem on complex manifolds
International Journal of Mathematics and Mathematical Sciences, 2002 Let Ω be a relatively compact subdomain of a complex manifold, exhaustable by Stein open sets. We give a necessary and sufficient condition for Ω to be Stein, in terms of L2 -estimates for the ∂¯-operator, equivalent to the condition of Markoe (1977) and
Patrick W. Darko
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