A generalization of Stein manifolds

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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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
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

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