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Holomorphic submersions from Stein manifolds [PDF]
Annales de l'Institut Fourier, 2004 We establish the homotopy classification of holomorphic submersions from Stein manifolds to Complex manifolds satisfying an analytic property introduced in the paper. The result is a holomorphic analogue of the Gromov--Phillips theorem on smooth submersions.
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Approximation and extension of Hermitian metrics on holomorphic vector bundles over Stein manifolds
Comptes Rendus. MathématiqueWe show that a singular Hermitian metric on a holomorphic vector bundle over a Stein manifold which is negative in the sense of Griffiths (resp. Nakano) can be approximated by a sequence of smooth Hermitian metrics with the same curvature negativity.
Deng, Fusheng +3 more
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Open Mathematics, 2014 Abstract We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f. We show, for instance, that if X admits no such (not necessarily proper) function, then it contains a (
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Improved Lp -Folland–Stein–Sobolev inequality under constraints
, 2023 Hang–Wang improved the Sobolev inequality on the unit sphere under the vanishing of higher-order moments of the volume element. In this note, we improve the Folland–Stein inequality on the CR sphere under the vanishing of higher order moments of the ...
Ho, Pak-tung
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TAME DISCRETE SUBSETS IN STEIN MANIFOLDS [PDF]
Journal of the Australian Mathematical Society, 2018 Rosay and Rudin introduced the notion of ‘tameness’ for discrete subsets of$\mathbf{C}^{n}$. We generalize the notion of tameness for discrete sets to arbitrary Stein manifolds, with special emphasis on complex Lie groups.
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On complex Banach manifolds similar to Stein manifolds [PDF]
Comptes Rendus. Mathématique, 2010 We give an abstract definition, similar to the axioms of a Stein manifold, of a class of complex Banach manifolds in such a way that a manifold belongs to the class if and only if it is biholomorphic to a closed split complex Banach submanifold of a separable Banach space.
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Aziridination of a Single Carbon Atom in Alkenes via Energy Transfer Catalysis
Angewandte Chemie International Edition, EarlyView.Contrary to traditional alkene aziridination via (formal) nitrene transfer, we herein report a strategy that achieves intermolecular aziridination of a single alkene carbon atom and installs an additional group at the other. Enabled by metal‐free energy transfer (EnT) catalysis, alkenyl boronates and silanes are transformed into reactive intermediates ...
Fritz Paulus +7 more
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The Littlewood-Paley-Stein Inequality on an Infinite Dimensional Manifold
, 1994 Let M be a compact Riemannian manifold. We consider on MZν a diffusion operator with Ising-type interaction. We characterize Lp-space with respect to the Gibbs measure by the Littlewood-Paley-Stein inequality and then discuss the equivalence of Sobolev ...
Yoshida, N.
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Arthroscopy, EarlyView.Purpose To quantitatively assess intercondylar notch morphometrics using 3‐dimensional computed tomography reconstruction, evaluate their association with anterior cruciate ligament (ACL) injury in Asian populations, and investigate the prevalence of osteophytes in patients with ACL injury.
Xiaozhong Ma +9 more
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Social Work and Society, 2005 Herman Stein, President of the International Association of Schools of Social Work from 1968 - 1976, has for more than sixty years excelled as an educator, scholar, internationalist, university administrator, and leader in a variety of professional ...
Katherine Kendall
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