Günyüz, Ozan (2022) A generalization of Stein manifolds. European Journal of Mathematics, 8 (SUPPL2). pp. 504-517. ISSN 2199-675X (Print) 2199-6768 (Online)
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Official URL: https://dx.doi.org/10.1007/s40879-022-00584-y
Abstract
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 (= m-pseudoconcave set) if and only if it is m-Stein.
Item Type: | Article |
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Uncontrolled Keywords: | m-subharmonic functions; Minimal kernel; Pseudoconcavity; Stein manifolds |
Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
Depositing User: | Ozan Günyüz |
Date Deposited: | 27 Mar 2023 10:58 |
Last Modified: | 27 Mar 2023 10:58 |
URI: | https://research.sabanciuniv.edu/id/eprint/45134 |