Results 1 to 10 of about 845 (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 (
M Gromov
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On Subcritically Stein Fillable 5-manifolds [PDF]
Canadian Mathematical Bulletin, 2018 AbstractWe 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 where the fundamental group is finite cyclic, and we show that on the 5-sphere, the standard contact structure is the unique subcritically ...
Ding, Fan +2 more
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Parabolic Stein Manifolds [PDF]
MATHEMATICA SCANDINAVICA, 2014 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. In the first part of this note we compile these notions of parabolicity and give some immediate relations among these ...
Aytuna, Aydın, Sadullaev, A.
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Riemann surfaces in Stein manifolds with the Density property [PDF]
Annales de l'Institut Fourier, 2014 We show that any open Riemann surface can be properly immersed in any Stein manifold with the (Volume) Density property and of dimension at least 2. If the dimension is at least 3, we can actually choose this immersion to be an embedding. As an application, we show that Stein manifolds with the (Volume) Density property and of dimension at least 3, are
Andrist, Rafael B, Wold, Erlend Fornæss
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Cohomology with bounds and Carleman estimates for the ∂¯-operator on Stein manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 Cohomology with bounds are used to globalize a result of Hörmander obtaining Carleman estimates for the Cauchy-Riemann operator on Stein manifolds.
Patrick W. Darko
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An increasing sequence of stein manifolds whose limit is not Stein
Mathematische Annalen, 1976 This question was raised in 1933 by Behnke-Thullen [2] in the case when M is an open subset of complex Euclidean space. In the same paper they solved this problem for various special domains M. The problem was solved affirmatively for arbitrary open subsets M in IF" by Behnke-Stein [1, 1938]. K.
John Erik Fornæss, Fornæss John Erik
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Universal functions on Stein manifolds
Journal of the Mathematical Society of Japan, 2004 Let \(M\) be a Stein manifold with projective compactification \((X,Y)\), and let \(A\subset Y\) be a connected analytic subset. For a compact subset \(K\subset M\), we denote by \(\mathcal{A}(K)\) the set of all functions which are holomorphic in a neighborhood of \(K\). Define \(\| f\| _K:= \max_{x\in K}| f(x)| \), for any \(f\in \mathcal{O}(M)\) and
Abe Y., ZAPPA, Paolo
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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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Generalized complex Stein manifold
49 pages, minor revision, comments are ...
Pal, Debjit
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Bott–Chern cohomology and q-complete domains [PDF]
, 2013 In studying the Bott–Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott–Chern q-complete ...
Daniele Angella +3 more
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