Results 21 to 30 of about 47,886 (213)
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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The Oka principle for sections of subelliptic submersions
, 2001 Let X and Y be complex manifolds. One says that maps from X to Y satisfy the Oka principle if the inclusion of the space of holomorphic maps from X to Y into the space of continuous maps is a weak homotopy equivalence. In 1957 H.
Forstneric, Franc
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Some Remarks on the Total CR $Q$ and $Q^\prime$-Curvatures [PDF]
, 2018 We prove that the total CR $Q$-curvature vanishes for any compact strictly pseudoconvex CR manifold. We also prove the formal self-adjointness of the $P^\prime$-operator and the CR invariance of the total $Q^\prime$-curvature for any pseudo-Einstein ...
Marugame, Taiji
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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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Meromorphic convexity on Stein manifolds
, 2023 We consider generalizations of rational convexity to Stein manifolds and prove related ...
Boudreaux, Blake J., Shafikov, Rasul
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Approximation of holomorphic mappings on strongly pseudoconvex domains
, 2009 Let D be a relatively compact strongly pseudoconvex domain in a Stein manifold, and let Y be a complex manifold. We prove that the set A(D,Y), consisting of all continuous maps from the closure of D to Y which are holomorphic in D, is a complex Banach ...
Barbara Drinovec-Drnovšek +11 more
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Constructing Stein manifolds after Eliashberg [PDF]
, 2009 16 pages, 1 figure.
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CORRELATORS AND DESCENDANTS OF SUBCRITICAL STEIN MANIFOLDS [PDF]
International Journal of Mathematics, 2013 We determine the contact homology algebra of a subcritical Stein-fillable contact manifold whose first Chern class vanishes. We also compute the genus-0 one point correlators and gravitational descendants of compactly supported closed forms on their subcritical Stein fillings.
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Envelopes of holomorphy and holomorphic discs [PDF]
, 2008 The envelope of holomorphy of an arbitrary domain in a two-dimensional Stein manifold is identified with a connected component of the set of equivalence classes of analytic discs immersed into the Stein manifold with boundary in the domain. This implies,
Joricke, Burglind
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Data‐Guided Photocatalysis: Supervised Machine Learning in Water Splitting and CO2 Conversion
Advanced Intelligent Discovery, EarlyView.This review highlights recent advances in supervised machine learning (ML) for photocatalysis, emphasizing methods to optimize photocatalyst properties and design materials for solar‐driven water splitting and CO2 reduction. Key applications, challenges, and future directions are discussed, offering a practical framework for integrating ML into the ...
Paul Rossener Regonia +1 more
wiley +1 more source