Results 1 to 10 of about 19,706 (253)
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 (
Gromov Misha
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Holomorphic submersions from Stein manifolds [PDF]
Annales de l'Institut Fourier, 2004 In this paper we prove results on the existence and homotopy classification of holomorphic submersions from Stein manifolds to other complex manifolds.
Franc Forstnerič
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Parabolic stein manifolds [PDF]
MATHEMATICA SCANDINAVICA, 2011 An open Riemann surface is called parabolic in case every bounded subharmonic function on it reduces to a constant. Several authors introduced seemingly different analogs of this notion for Stein manifolds of arbitrary dimension.
Aytuna, Aydın +2 more
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Complete nonsingular holomorphic foliations on Stein manifolds [PDF]
Mediterranean Journal of Mathematics, 2023 AbstractLet X be a Stein manifold of complex dimension $$n>1$$ n > 1 endowed with a Riemannian metric $${\mathfrak {g}}$$ g .
Antonio Alarcón, Franc Forstnerič
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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.
JÖRG WINKELMANN
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On subcritically Stein fillable 5-manifolds [PDF]
Canadian Mathematical Bulletin, 2017 We make some elementary observations concerning subcritically Stein fillable contact structures on 5-manifolds. Specifically, we determine the diffeomorphism type of such contact manifolds in the case the fundamental group is finite cyclic, and we show ...
Ding, Fan +2 more
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Bott-Chern harmonic forms on Stein manifolds [PDF]
Proceedings of the American Mathematical Society, 2018 11 ...
Riccardo Piovani +1 more
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STEIN EMBEDDING THEOREM FOR $\mathbb{B}$-MANIFOLDS [PDF]
Proceedings of the Edinburgh Mathematical Society, 2003 AbstractAn analogue of the Stein embedding theorem for $C^\infty$ manifolds endowed with two equidimensional supplementary foliations is proved.AMS 2000 Mathematics subject classification: Primary 30G35. Secondary 16P10; 26E05; 32E10; 53C12; 57R30.
P. M. Gadea +2 more
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Noncritical holomorphic functions on Stein manifolds [PDF]
Acta Mathematica, 2003 Acta Math, to appear. Remark 1. The foliation version of Theorem 4.1 was stated incorrectly in versions 1-3 of the preprint. Remark 2. Preprint versions 1-4 contained an informal statement (without proof) regarding the multi-parametric case of Theorem II.
Franc Forstnerič
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The topology of Stein fillable manifolds in high dimensions, II [PDF]
, 2015 We continue our study of contact structures on manifolds of dimension at least five using complex surgery theory. We show that in each dimension 2q+1 > 3 there are 'maximal' almost contact manifolds to which there is a Stein cobordism from any other (2q ...
Jonathan Bowden +2 more
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